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Anything less than a victory for South America's most populous nation and most successful national team at the Maracana will be deemed a monumental failure and could cost Tite his job regardless of the steady progress the coach has overseen.
Brazil beat Peru 3-1 on Sunday to win the Copa America for the ninth time in a pulsating contest at the Maracana stadium.
The 32-year-old Barcelona star, who infamously quit international football after Argentina's defeat in the 2016 Copa America Centenario final, said he had no plans to retire after a 2-0 semifinal loss to Brazil.
Brazil will meet Chile or Peru in Sundays final in Rio de Janeiro.
Portuguese coach Carlos Queiroz, who only took over Colombia after leaving his job with Iran at the end of the January-February Asian Cup, paid tribute to the side's collective effort.
Messi wasted the best chance of the game before Martinez's piledriver broke the deadlock when he skewed a rebound wide from close range, and the Barcelona forward also went on a thrilling solo run into the area but could not get a shot away.
Argentina can look forward to a mouthwatering Copa America semi-final clash with Brazil after delivering a much-improved display to beat Venezuela 2-0 in the quarter-finals in their first game at the Maracana.
While Messi usually looks to be playing on a different level to his international team ates, against Venezuela it was the five-time world player of the year who looked rusty, slow and the least likely to conjure up a moment of magic.
Reigning champions Chile will face either Uruguay or Peru in Wednesday's semifinal in Porto Alegre.
Philippe Coutinho scored a second half double and Everton added a cracking third as Brazil recovered from a sleepy start to beat Bolivia 3-0 in their Copa America opener.
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