This is because whilst Barcelona were beaten by Roma in the quarter-finals, Coutinho's former side Liverpool went through, defeating Manchester City 5-1 on aggregate.
Liverpool, who are now waiting to find out their opponents in the semi-finals, could feasibly go on and win the tournament.
If they do so then UEFA rules stipulate that they will be given 40 winners medals, to be distributed how they see fit.
Philippe Coutinho FC Liverpool
Image credit: Getty Images
That mean if they choose to do so Liverpool could give Coutinho a medal for his performances in the group stage, although the final decision will likely rest with manager Jurgen Klopp.
Former Liverpool defender Phil Thompson said on Sky Sports that he felt the club should not give Coutinho a medal.
"He left Liverpool to go to Barca knowing he wasn't going to play Champions League football at Barca," he said.
"Listen I got a medal in 1977 for Liverpool because I played until the semi-final, I don't count it as a winner's medal."
"I'd like to think if we do go on to win it that he says no I don't deserve it, I don't care its wrong."