"We played the best team in the world and they scored a typical Barcelona goal, but we never gave up, we kept fighting", Icardi said.
"His tears were emotional", Sergio Busquets said.
"That was our first objective, but we go home happy".
The defeat exposes the Anfield club to the threat of an early elimination in Group C, with Napoli coming from behind to draw 1-1 at home to Paris Saint-Germain in the night's other game.More news: Trump warns House Democrats against investigating his administration
Lionel Messi made the trip with Barcelona but is unlikely to play as he continues to recover from a fractured arm. Real's against Real Valladolid on Saturday was their first in six league games.
"This is a hard group but we saw with Liverpool losing that everything is possible", said PSG's Julian Draxler.
As the video shows, Messi has scored goals against AC Milan, Roma, Juventus but he has not scored against Inter Milan in three different occasions and given his injury and well-being, it is highly unlikely that Messi would make a fourth appearance against Inter and ultimately break the deadlock. The 26-year-old saved Barcelona's blushes in two of their last three league games, against Sevilla and Rayo Vallecano, and is enjoying a stunning run of form. You can also watch the match via B/R Live and Univision Deportes En Vivo.
"Problems can always flare up, but we played well and it was a game that had everything".More news: Sri Lanka president prolongs political standoff
This result also came on the day the club's Russian billionaire owner Dmitry Rybolovlev was arrested in a corruption investigation. Training isn't the same as playing.
In Portugal, FC Porto only need a draw to qualify for the round of 16 after recording a comfortable 4-1 win against Russian side Lomotiv Moscow in Group D.
Group C seem to be the toughest in this season's competition as Liverpool were beaten away to Red Star Belgrade by 2-0 while Napoli and PSG shared the points with a 1-1 scoreline.More news: DC Universe has found its Swamp Thing