The late strike – his first goal for his country at full international level – restored Romania’s lead after two quick-fire goals from North Macedonia had levelled at 2-2.
It was also a remarkable night for Hagi’s Rangers team-mate Steve Davis who equalled the British international men’s cap record – a title shared with England goalkeeper Peter Shilton.
Davis led Northern Ireland in a 2-0 defeat to Italy in Parma which also boasted a heavy SPFL contingent of figures, past and present.
As well as former Motherwell manager Ian Baraclough in the dugout alongside Jimmy Nicholl, St Johnstone’s Ali McCann also played on the left of midfield, ahead of Hearts defender Michael Smith.
Ex-Killie forward Josh Magennis led the line with current Killie forward Kyle Lafferty coming off the bench, as did fomer Raith Rovers midfielder Jordan Thompson, and former Falkirk loanee Shayne Lavery.
Celtic goalkeeper Conor Hazard and Aberdeen’s Niall McGinn were among the unused substitutes in the defeat.
Elsewhere former Celtic defender Mikel Lustig played 84 minutes of his side’s 1-0 win over Georgia – starring alongside Rangers defender Filip Helander.
Hibs’ number one Ofir Marciano was opposite former Falkirk goalkeeper Kasper Schemeichel as Israel were defeated 2-0 by Denmark and former Aberdeen defender Kari Arnasson was booked as Iceland were defeated 3-0 by Germany in Duisburg.