A lacklustre Brazil launched their Copa America campaign with a dour 0-0 draw against Costa Rica on Monday as James Rodriguez inspired Colombia to a 2-1 win over Paraguay in the other Group D game.

Brazil, chasing a 10th Copa America crown, dominated possession and territory at the SoFi Stadium in Los Angeles but struggled to break down a resolute Costa Rica.

The Brazilians thought they had taken the lead in the 30th minute after Marquinhos tapped in at the back post after a flick on by Rodrygo following a free-kick by Raphinha.

But after an agonising VAR delay, the goal was chalked off for a fractional offside decision.

Costa Rica were content to sit back, defending in numbers and rarely venturing forward with any purpose.

They failed to have a single shot on goal for the entire game.

Rodriguez, whose club career has languished in the decade since he rose to prominence with a dazzling performance at the 2014 World Cup, created both of Colombia's goals at Houston in Texas.

The 32-year-old midfielder, who has played just a handful of minutes for Brazilian club Sao Paulo in the two months leading into the Copa America, set up the opening goal for Colombia in the 32nd minute.

Ten minutes later Colombia doubled their lead and again it was a goal engineered by the trusty left foot of Rodriguez.

This time the goal arrived from the opposite flank, with Rodriguez swinging in a wicked free-kick that was glanced in by Crystal Palace midfielder Jefferson Lerma.

That made it 2-0 at half time to leave Colombia firmly on course to extend their unbeaten streak to 24 games.

Colombia continued to carve out the better chances in the second half, but Paraguay set up a nervy finish after Brighton's Julio Enciso pulled one back in the 69th minute. (AFP)