Barcelona were of course knocked out of the Champions League in dramatic circumstances on Tuesday night, with Roma completing a sensational comeback to seal a place in the semi-finals.
Former midfielder Paul Ince thinks the departure of Philippe Coutinho has helped Liverpool take their game to another level.
Regulations also state, however, that should his former club triumph in Europe they will receive 40 Champions League medals.
Having already featured for the Anfield club in the earlier stages of the competition, the Brazilian has been ineligible to turn out for Barcelona in the continent's premier tournament since moving to the Camp Nou in January. "Additional medals may not be produced".
GETTYLiverpool midfielder James Milner starred in their two-legged win against Manchester City
But the final decision would rest with manager Jurgen Klopp - who no doubt will not even consider the prospect until Liverpool have lifted the famous old trophy for a sixth time.
But according to Thompson, a former Liverpool player, coach and European Cup victor, Coutinho doesn't deserve the medal and should turn it down.
"I got a medal in 1977 for Liverpool because I played up until the semi-finals."I don't count that as a winners medal".
"He left Liverpool to go to Barca knowing he wasn't going to play Champions League football at Barca", he told Sky Sports. I have that in my house in a cabinet but I say wherever I go I've only two European Cup winners medals.
Meanwhile, one Liverpool fan claimed Coutinho could be making the same mistake Michael Owen made when he left the Reds for Real Madrid in August 2004.