Argentina were hoping to register three points after a 1-1 draw against Iceland in their opener while Croatia needed three more points to seal their place in the round of 16 after victory from Nigeria.
Chances fell for both sides both were unable to convert as they went into the break goalless.
Cabellero gifts Rebic Croatia goal
Willy Cabellero was the villain as he turned provider for Croatia's Ante Rebic in the 53rd minute.
The mistake was heavily criticised out Twitter as he was a target man for insults for his unfortunate mistakes.
Here are reactions to his mistake which cost Argentina the opening goal.
'An absolute catastrophic mistake from Cabellero gifts Redic a chance & his volley is sweetly struck into the net "
"Cabellero literally always looks like he has a mistake in him but that one was absolutely horrific"
"Cabellero didn't just make mistake he just put down their moral and bring depression"
Modric scores stunner against Argentina
Luka Modric scored a stunner for Modric which was hailed on Twitter, the Croatian midfielders all round performance was much appreciated.
After another outstanding game, Twitter users were again full of praise for the Croatian captain.
Here are some of the reactions, "Croatia through to the round of 16! Bossed Argentina in every way. Amazing performance from Luka Modric. In other news, Messi's retirement announcement coming up"
"We all agree...Modric is better than Messi. In this game, anyway."
"Luka Modrić is one of the greatest midfielders in the history of football, and deserves to be treated as such. Cherish every single second of his magic."
Rakitic complete Argentina humiliation
Ivan Rakitic completed the humiliation for Argentina when he converted the last goal of the game in the 90th minute.
Messi criticised on Twitter for Argentina defeat to Croatia
Lionel Messi was subjected to more criticism for his performance in Argentina's defeat to Croatia.
Described by some as the Greatest Player of All Time (GOAT) supporters of Cristiano Ronaldo were quick to express their opinion on who is the better footballer.
Here are some of their reactions, "In the moment his team needed him the most, he was nowhere to be found."
"Everyone says Messi did not play good enough... But every time he had the ball, he dribbled at least 3 defenders, than passed it, creating a chance for Argentina to score... He can’t play alone."
Messi and his Argentine teammates will hope to bounce back when they take on Nigeria while Croatia face off with Iceland on Tuesday, June 26.