Simeone's sensational tirade, reported to be an audio message sent on mobile platform WhatsApp to Atletico assistant coach and former Argentina goalkeeper German Burgos, emerged hours after Argentina's heaviest defeat in a World Cup group stage since 1958.
"This was his last chance to win something with Argentina so I wouldn't be surprised to see him retire from worldwide football after this".
Zabaleta, who was part of the team that reached the 2014 final, believes the Barcelona star could call time on his global career should they fail to progress to the last 16.
Russia's World Cup organizing committee said seven Argentinians had been detained by police after the match, in which Croatia beat Argentina 3-0 and left the hopes of the twice world champions hanging by a thread. The way they looked, I can not see Argentina qualifying now.More news: Turkey Opposition Candidate Blasts Erdogan at Massive Rally
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Reports indicate that coach Sampaoli could be kicked out of the team.
"We found out by chance that it was Messi's birthday on June 24", said chief confectioner Daria Malkina.
"We don't realise that Messi is very good but I clarify that he is very good because he is accompanied by extraordinary footballers", he said.
Worse was to come as Messi abruptly announced his global retirement following a penalty shootout loss to Chile, Argentina's second Copa America final defeat in two years, citing frustration at the way the game was run in the country.
"I can't remember a worse performance from us at a World Cup", former Argentina defender Pablo Zabaleta, who started the 2014 final, said in his role as a pundit for the BBC. I think it's unusual because he is a very important player in the national team and he had little involvement, which is odd. "Ronaldo is able to play with a certain amount of freedom that Messi frankly doesn't have because he's already cemented his place as Portugal's best-ever player".