Javier Hernandez scored on a first-half header, and Mexico survived a tense second half to advance to the Copa America quarterfinals Thursday night with a 2-0 victory over Jamaica.

Substitute Oribe Peralta scored in the 81st minute and goalkeeper Guillermo Ochoa made several big stops in El Tri's 11th consecutive win in international play, including its first two Copa America games.

Mexico advanced from its group along with surprising Venezuela, which beat Uruguay earlier. Mexico and Venezuela will meet Monday in Houston to determine the higher seed in knockout play.

Chicharito put Mexico ahead in the 18th minute with an exceptional header, outjumping Wes Morgan and setting off a seismic celebration at a Rose Bowl packed with Mexican fans for the rematch of last year's Gold Cup final.

The 28-year-old Hernandez got his 45th career goal for Mexico, leaving him one shy of tying Jared Borgetti's national team record.

Mexico struggled at times before Peralta came on for Chicharito and promptly scored a late goal. Ochoa was forced to make several big plays after sitting out the opener, including a diving fingertip save of Michael Hector's long strike in the 84th minute.

But the Mexicans remained unbeaten in 21 consecutive international matches, and they improved to 9-0-0 under coach Juan Carlos Osorio.

Salomon Rondon scored on a rebound after a shot from midfield struck the crossbar and Venezuela beat Uruguay 1-0 on Thursday night to advance to the Copa America Centenario quarterfinals.

The West Bromwich striker scored in the 36th minute, after a shot from midfield by Alejandro Guerra was barely deflected by Uruguay goalkeeper Fernando Muslera and hit the crossbar.

"Today we showed the Rocky we have inside," Venezuela coach Rafael Dudamel said. "That fighter who never gives up, who may go down, but gets up again."

It was Venezuela's first win over Copa America against Uruguay, a team that has won the tournament a record 15 times.

"The players always believed in themselves," Dudamel said. "We asked them, you think we have the players to do it? And all of them said 'yes', without any hesitation."

Uruguay's Edinson Cavani missed several scoring chances, including a one-on-one against goalkeeper Jose Contreras in the 90th minute.

Luis Suarez missed his second consecutive game for Uruguay with a hamstring injury. The Barcelona striker was injured in the Copa del Rey final.

"We didn't play like a team that needs to get a good result," said Uruguay coach Oscar Tabarez.

He added Suarez is not ready to play, and will probably miss Uruguay's last group stage match on Monday against Jamaica.

"We want Suarez when he's ready," Tabarez said.