DOHA, Qatar (AFP) — Luka Modric is Croatia's greatest-ever player, but he was upstaged by arguably the best of all time, Lionel Messi, as Argentina crushed his World Cup dreams here on Tuesday.

After orchestrating his country's run to a second straight World Cup semifinal, 37-year-old Modric's team were swept aside 3-0 by the South American side.

Coach Zlatko Dalic boasted that Croatia — with Modric supported by Mateo Kovacic and Marcelo Brozovic — had "the best midfield in the world" after their shock quarterfinal elimination of Brazil.

That midfield has enabled a nation of just under four million to consistently compete with the world's strongest teams, but they ran out of steam against a combative Argentina.

"Argentina have an excellent team and today they had four midfielders and closed the space and tried to play most of the game there," Dalic said.

Croatia had fallen behind in their win against Canada in the group stage and overcame both Japan and Brazil in the knockout rounds on penalties, having conceded the opening goal in both matches.

Few teams are as dogged or durable as Croatia, but two goals in five minutes, the first a penalty from Lionel Messi and the second a scruffy Julian Alvarez strike, proved too great an obstacle to surmount.

Dalic had played down concerns of tiredness after going to extra time in both the Last 16 and quarterfinals, but there was a sense Croatia had little left in the tank once Alvarez made it 2-0.

More Messi brilliance led to a second goal for Alvarez, and Modric was withdrawn nine minutes from the end for Lovro Majer — receiving warm applause from the capacity crowd of nearly 89,000.

Real Madrid midfielder Modric, who made his international debut way back in 2006, is surely in the final phase of his brilliant career.

Croatia will play France or Morocco on Saturday in the third-place playoff. They are also through to the Last Four of the Nations League, but that competition lacks the luster of the World Cup and may not be enough to sway Modric to stay on.

The five-time Champions League winner, who has a record 161 caps for Croatia, will be almost 39 by the time Euro 2024 rolls around.