Both midfielders damaged their hamstrings and had to be replaced in an International Champions Cup game against Tottenham on Saturday .
Gomes is reportedly at risk of being ruled out for up to three months, while Suarez's injury is believed to be less serious.
Barcelona are reportedly open to offers for Gomes, who has struggled to settle at Camp Nou and has spoken about his mental health struggles.
"Denis Suarez and Andre Gomes return to Barcelona from Los Angeles and will have tests at the Ciutat Esportiva to find out the extent of their injuries," Barcelona said in a short statement.
Barcelona head coach Ernesto Valverde previously confirmed he was seeking midfield reinforcements , with Paulinho having returned to Guangzhou Evergrande after a single season with the Catalan giants and Andres Iniesta joining Japanese side Vissel Kobe.
Juventus star Miralem Pjanic and Frenkie de Jong of Ajax are among the players to have been linked with Barca, who have signed Clement Lenglet as well as Brazilian duo Arthur and Malcom in preparation for the 2018-19 season.