Lukaku and Immobile are two of the form front men in European football, and the duo have earned recognition following their latest goalscoring exploits.
Inter striker Lukaku grabbed both goals in a 2-0 away win at Udinese on Sunday.
And Immobile matched that haul as Lazio thrashed SPAL 5-1, the Italy international's brace taking his 2019-20 league tally to 25 already.
The duo are far from the only big names in this week's selection, however, with Roberto Firmino, Jadon Sancho and Hugo Lloris also among the new in-form cards.
Find the full squad below.
TEAM OF THE WEEK
GK: Hugo Lloris (Tottenham) - 89
CB:Matthijs de Ligt (Piemonte Calcio/Juventus) - 87
LB: Alex Telles (Porto) - 87
CB:Yerry Mina (Everton) - 84
CM: Daniel Parejo (Valencia) - 88
RM: Angel Di Maria (Paris Saint-Germain) - 88
CAM: Jadon Sancho (Borussia Dortmund) - 87
CM: Santi Cazorla (Villarreal) - 86
CF: Roberto Firmino (Liverpool) - 88
ST:Ciro Immobile (Lazio) - 90
ST: Romelu Lukaku (Inter) - 88
SUBSTITUTES
GK:Steve Mandanda (Marseille) - 83
CB:Kaan Ayhan (Fortuna Dusseldorf) - 81
RM:Robert Snodgrass (West Ham) - 81
ST:Francesco Caputo (Sassuolo) - 84
RW:Daniel Ginczek (Wolfsburg) - 82
ST:Kasper Dolberg (Nice) - 81
LW:Oussama Idrissi (AZ) - 81
RESERVES
CM:Alexandru Maxim (Gaziantep) - 79
CM: Alexandru Cicaldau (Universitatea Craiova) - 78
LM: Ahmet Engin (Duisburg) - 76
LM: Nathan Thomas (Carlisle United) - 74
LW: Said Benrahma (Brentford) - 80
A host of big-name player from Europe’s top clubs, including Premier League stalwarts and Champions League winners, have been attracted to the oil-rich Gulf state in a trolley dash worth almost half a billion US dollars leading up to the 2023/24 campaign.
Firmino arrived as a well-paid free transfer from Anfield and the Brazil forward enjoyed a memorable start as he inspired a 3-1 win for Al Ahli over Al Hazem in Jeddah.
The 31-year-old, who was handed the captain’s armband, netted twice in the first nine minutes as he linked up with fellow imports Riyad Mahrez and Allan Saint-Maximin and rounded off the scoring midway through the second half.
There was an assist apiece for former Manchester City winger Mahrez and Newcastle old boy Saint-Maximin, but not all of Al Ahli’s high-profile acquisitions excelled.
Edouard Mendy, the former Chelsea goalkeeper, was enjoying a quiet evening until he side-footed a clearance straight to opposition forward Vina and found himself chipped from 25 yards as he scrambled back into position.
The error did not cost the home side, who were promoted last season and are one of several sides to have built a star-studded squad with the assistance of the Saudi Public Investment Fund.
Firmino opened his account with a powerful near-post header in the sixth minute and doubled his tally soon after when Saint-Maximin sprayed a pass wide for Mahrez, who left the striker a close-range tap-in.
He made the match ball his own in the 72nd minute when his headed effort from Saint-Maximin’s curling cross was saved, hooking his leg round to finish on the rebound.
Firmino has been joined in the league by his former Liverpool team-mates Jordan Henderson, Fabinho and Sadio Mane, while Cristiano Ronaldo, Karim Benzema and N’Golo Kante also take their place among the A-list cast of recruits.
Matthias Jaissle's team were four goals up within just 25 minutes as Damac folded, Ziyad Al Johani and Feras Al Brikan netting their first two before Franck Kessie was felled by Dhari Al Anazi for a penalty, converted by Mahrez.
Firmino then tapped home a fourth after being teed up by former Newcastle United winger Allan Saint-Maximin on the break, but Al-Ahli took their foot off the gas from there, Domagoj Antolic's second-half consolation rounding off the scoring.
Elsewhere, 10-man Al-Riyadh scored two stoppage-time draws to earn a dramatic 2-2 draw with Al-Fateh in Al-Mubarraz.
Goals from Djaniny and former Columbus Crew star Lucas Zelarayan put Slaven Bilic's hosts on the brink of victory, with Al-Riyadh playing almost half the game a player down after Khalid Al Shuwayyi's 54th-minute red card.
An astonishing collapse denied them, however, with Mohammed Al Shwirekh halving the arrears one minute into stoppage time before Didier Ndong headed in a left-wing cross three minutes later.
Thursday's other game saw Al-Hazm and Al-Akhdoud play out a goalless draw, keeping the hosts bottom of the table while Al-Akhdoud inched two points clear of the relegation zone.