San Marino head coach Roberto Cevoli says the team "deserve what they've managed to achieve" after they made history with their Nations League promotion.

San Marino, the world's bottom-ranked team, won their first away match in history as they beat Liechtenstein 3-1 in their final Nations League match on Monday.

It was just the third win in their history, with all of those victories coming against Liechtenstein, with their previous triumphs – a friendly in 2004 and a Nations League game in September – both 1-0 at home.

Aron Sele had given Liechtenstein the lead five minutes before half-time, but second-half goals from Lorenzo Lazzari, Nicola Nanni and Alessandro Golinucci secured the famous victory for the visitors.

"Finishing that first half 1-0 down was an insult to football, but the boys were brilliant and deserved what they've managed to achieve," said Cevoli.

Marco Tura, the president of San Marino's Football Federation, added: "These boys made history tonight.

"As people, as athletes, as men, they have shown what they are worth. I cried with the boys."

It is the first time San Marino scored more than once in a competitive game, while they had never scored three goals in any match before in their history.

The victory means they have gained promotion to Nations League C, after topping Group D1 with seven points.

San Marino clinched their first-ever competitive win, and their first victory in over 20 years, by beating Liechtenstein 1-0 in their Nations League opener on Thursday.

San Marino, whose only previous victory came in a friendly against the same opponents in April 2004, sealed the historic result courtesy of Nicko Sensoli's 53rd-minute strike.

Sensoli pounced on a defensive mix-up to prod into an unguarded net and spark wild celebrations in Serravalle, then the hosts held on through seven anxious minutes of second-half stoppage time to go top of Nations League Group D1.

The team, who sit 210th in the FIFA World Rankings, had previously won just one of 205 full internationals, and the full-time whistle sparked joyous celebrations as coach Roberto Cevoli and his staff ran onto the pitch.

San Marino are next in action in a friendly on Tuesday, when they visit Moldova.