Video: Re-live how Croatia destroyed Messi's Argentina
Argentina are facing the prospect of an early World Cup exit after a dreadful error from goalkeeper Willy Caballero set Croatia on their way to victory and a place in the last 16.
Messi - adrift for much of the match, especially during a pedestrian opening half - rallied his side, but neither he nor substitute forwards Gonzalo Higuain and Pablo Dybala could find a way through in Nizhny Novgorod.
Watch highlights of Croatia 3-0 Argentina below;
The closest Messi came was a half-chance, a snatch at a rebound from a Maximiliano Meza shot which was blocked by Ivan Rakitic and turned behind to safety.
It was a dogged defensive second-half display from Croatia, illuminated by a moment of magic from their own masterful number 10, Luka Modric.
His curled shot from range drifted beautifully beyond Caballero's dive to put his side two
Argentina
Should Iceland beat Nigeria in their second Group D game on Friday, Iceland would need only a draw against Croatia in their final match.
For Messi, a prolific performer at club level with Barcelona, this was another harrowing chapter in his recent history of pain and disappointment in the international game.