He was India captain Rohit Sharma's opening partner in the home T20 series against Afghanistan earlier this year but his place looked under threat as he struggled for runs in the IPL
France are waiting for more information on Real Madrid's Varane, who suffered a hamstring injury in training.
According to media reports, Varane could be out of action for up to three weeks, making him a doubtful starter for France's opening game against Romania at Stade de France on June 10.
Rami will join the team at their training camp outside Paris on Tuesday, the FFF said in a statement.
The teams have until May 31 to present their final 23-man list to European body UEFA.