Former Italy great Maldini, who now works for the Rossoneri as technical director, tested positive for COVID-19 along with his 18-year-old son Daniel, a current Milan player.
A club statement issued on Saturday revealed both men had completed two weeks in isolation at home and that they would remain in quarantine until clinically recovered, in line with medical protocols in Italy.
Paolo Maldini posted a video on his Instagram account to thank well-wishers and was optimistic about himself and his son achieving a full recovery in the near future.
"With this video I wanted to thank all those people who expressed on social media their love and concern for my and my son's health,” he said.
"We're fine. We should be able to get rid of this virus within a week. Thanks for your continuing affection.
"I wanted to thank all those doctors, nurses, health workers, civil protection and law enforcement officers who are facing this emergency with the utmost professionalism and enormous courage.
"Once again, you make us feel proud of being Italian. Thanks again."
Italy is the country most severely impacted by the coronavirus pandemic, with a death toll now in excess of 6,000.
Italy has been in lockdown for almost two weeks as its government attempt to contain the coronavirus pandemic, which has claimed the lives of 4,825 people in the country.
Sport across the world has been put on hold, with Serie A suspended until at least April and UEFA having postponed Euro 2020 until next year.
On Saturday, Juventus star Paulo Dybala confirmed he and his girlfriend had been diagnosed with COVID-19, though he added they were both in good condition.
Dybala is the third Juve player to test positive after Daniele Rugani and Blaise Matuidi and Milan have now confirmed club legend Maldini – the club's technical director – had tested positive, along with his son Daniel, who made his first-team debut for the Rossoneri in February.
"Milan confirms that Paolo Maldini, the club's technical director, became aware of contact with a person who subsequently tested positive for coronavirus and began to display symptoms of the virus himself," a club statement said.
"He was administered with a swab test yesterday, the result of which was positive. His son Daniel, a forward in Milan's youth team who had previously been training with the first team, also tested positive.
"Paolo and Daniel are both well and have already completed two weeks at home without contact with others.
"They will now remain in quarantine until clinically recovered, as per the medical protocols outlined by the health authorities."
Portugal international forward Rafael Leao has been linked with a host of top clubs, including Liverpool, Chelsea, Barcelona, Real Madrid and Manchester City.
The 23-year-old is contracted until 2024 and Maldini revealed prior to Milan's 1-0 Coppa Italia home loss to Torino that they were closing in on agreement on an extension, with the player keen to stay.
"We are talking, there are videocalls too and not just in-person meetings," Maldini told Mediaset. "We will try to reach an agreement. It seems like both parties want to continue together and we will try to close a deal.
"We've been trying to do that for the last year and a half, but a lot happened in that time. The important thing is we want to extend and it seems as if the player wants to as well.
"This team was largely built on the transfer campaign of 2019 and practically all of those who arrived have extended their contracts. I have to say, all those who wanted to renew their deals have done so."
Algerian defensive midfielder Bennacer, 25, is contracted with the Rossoneri until 2024 as well, but Maldini said they are within days of finalising an extension.
"Absolutely, I think we will in the next 24-36 hours," he said.
The reigning Italian champions are currently third in Serie A, seven points behind leaders Napoli after 17 games.
Reports suggest Rangnick is to be offered a unique role with the Rossoneri where he will combine the jobs of head coach and sporting director.
Such a restructure would leave no place for technical director Maldini or head coach Stefano Pioli, while Zvonimir Boban was sacked as chief football officer earlier this year as part of CEO Ivan Gazidis' shake-up of the hierarchy.
Last week, Rangnick – the former Stuttgart, Schalke and Leipzig boss who is now head of sport and development for Red Bull, the group which owns Leipzig – said he would need "a certain influence" to move to Milan and confirmed talks had taken place with the Serie A club prior to the coronavirus pandemic.
Maldini has taken a dim view of Rangnick's comments and delivered an extraordinary blast in an interview with Italian news agency ANSA.
"Having never talked to Rangnick, I don't understand on what basis his statements are based, also because I have never been told anything by the owner," he said.
"Some considerations in my opinion, however, must be made. The German coach in fact, speaking of a role with full managerial powers both in the sporting and technical areas, invades areas where professionals work with regular contracts.
"So, I would have some advice for him, before learning Italian he should review the general concepts of respect, as there are colleagues who, despite the many difficulties of the moment, are trying to finish the season in a very professional way, putting the good of Milan to their professional pride."
The French publication presented its all-time dream team on Monday, with Juventus superstar Ronaldo named alongside Barcelona's Lionel Messi, Pele and Diego Maradona – who died last month.
Brazil great Ronaldo, former Milan captain Paolo Maldini, Xavi, Bayern Munich legend Franz Beckenbauer, Lothar Matthaus, Cafu and goalkeeper Lev Yashin completed the XI.
Reacting to his inclusion, five-time Ballon d'Or winner Ronaldo tweeted: "I'm very honoured to be part of France Football's All Time 11."
"What an amazing Dream Team... They all deserve my respect and admiration and I'm obviously proud to be amongst such extraordinary players. Thank you!"
Cristiano Ronaldo – Real Madrid's record goalscorer – has won five Champions League titles, three Premier League trophies, Euro 2016 glory, two Serie A crowns and as many LaLiga triumphs to go with numerous other silverware.
Ronaldo celebrated his 100th Juventus appearance with a brace in Sunday's 3-1 Serie A win over Genoa.
Not only was Ronaldo making his 100th Juve appearance, he also became the first player to reach 400 wins across Europe's top five leagues this century.
Additionally, Ronaldo – who has netted 77 times since joining Juve in 2018 – reached 31 goals for the calendar year, making him the third Bianconeri player to reach this milestone in the top flight, and the first since Omar Sivori in 1961.
Serie A holders Juve face Atalanta on Wednesday, with the 35-year-old Ronaldo looking to add to his 10 league goals this term.
The 34-year-old's Camp Nou contract is set to expire on July 1, leaving him free to move on from the club where he has spent the entirety of his 17-year professional career thus far.
Fortunately for Barca, that outcome looks unlikely, with recent reports suggesting that the Argentina great is on the verge of agreeing fresh terms.
Should Messi put pen to paper on that extension, it will increase the possibility of him joining the ranks of players who spent their whole careers at just one club.
Here, we take a look at five of football's most celebrated one-club men.
Paolo Maldini (AC Milan)
Indisputably one of the greatest defenders of all-time, Maldini made his Milan debut as a 16-year-old in 1985 and spent the next quarter of a century at San Siro, winning seven Serie A titles and five Champions Leagues.
Ryan Giggs (Manchester United)
Like Maldini, Giggs progressed from prodigious young talent to distinguished elder statesman as he represented United from 1990 to 2014. Two Champions Leagues and 13 Premier League titles sit among an astonishing 34 honours amassed by Giggs across 963 senior United appearances.
Francesco Totti (Roma)
Totti bid an emotional farewell to Roma at the end of the 2016-17 campaign after 786 competitive appearances and 307 goals – matching Maldini's record of appearing in 25 Serie A seasons.
Carles Puyol (Barcelona)
A long-time team-mate of Messi's and the captain of Pep Guardiola's mesmeric treble winners of 2008-09, Puyol won six LaLiga titles and three Champions Leagues. With 593 appearances for Barcelona to his name, the defender sits fifth on the club's all-time list behind Sergio Busquets, Andres Iniesta, Xavi, and the outright leader Messi on 778.
Matthew Le Tissier (Southampton)
A mercurial forward with a knack for scoring improbably audacious goals, Le Tissier was regularly linked with the leading lights of English football during his 1990s heyday. He remained loyal to boyhood club Southampton to cement icon status on the south coast, although a mere eight appearances for England provides a talking point about what might have been possible had he not resisted offers from bigger clubs.
Coaches including Jose Mourinho, Fabio Capello, Zinedine Zidane, Carlo Ancelotti, Gareth Southgate and Fabio Capello have joined the 24-man UEFA football board, along with superstar former players Paolo Maldini, Luis Figo, Gareth Bale, Rio Ferdinand, Michael Laudrup, Philipp Lahm and Robbie Keane.
There is one non-European on the board, with Inter's Argentine vice-president Javier Zanetti joining a throng that also includes former Germany team-mates Rudi Voller and Jurgen Klinsmann, plus Netherlands boss Ronald Koeman, Rafael Benitez, Patrick Vieira and Eric Abidal.
The noticeably all-male board will hold its first meeting at UEFA's European House of Football headquarters on Monday.
European football's governing body said the group will "give an institutional yet independent voice of experience and expertise on fundamental football-related topics".
UEFA president Aleksander Ceferin said: "UEFA is delighted to see that the very ones who have shaped the game's history with their talents and philosophy through decades are gathered again around our common goal – to protect the game of football and its essential values. As we always say: football first!"
Ceferin is campaigning for clarity on football's handball rules, having recently described the law as "really obscure".
"No one understands it any more," Ceferin said. "So we really need a conversation here, finding solutions and clarifying some issues."
He said that would be an issue for the football board to look at, and it was confirmed on Thursday as being on the agenda for the meeting, along with discussions about the video assistant referee system, player behaviour and medical issues.
UEFA said its technical director and chief of football Zvonimir Boban would chair Monday's meeting, although he is not a member of the new board.
UEFA football board members: Jose Mourinho (Portugal), Carlo Ancelotti (Italy), Zinedine Zidane (France), Paolo Maldini (Italy), Fabio Capello (Italy), Javier Zanetti (Argentina), Luis Figo (Portugal), Philipp Lahm (Germany), Ronald Koeman (Netherlands), Gareth Southgate (England), Rio Ferdinand (England), Michael Laudrup (Denmark), Rafael Benitez (Spain), Roberto Martinez (Spain)
Predrag Mijatovic (Montenegro), Jurgen Klinsmann (Germany), Rudi Voller (Germany), Petr Cech (Czech Republic), Juan Mata (Spain), Robbie Keane (Republic of Ireland), Patrick Vieira (France), Henrik Larsson (Sweden), Eric Abidal (France), Gareth Bale (Wales).
