On May 30, Egypt officials said Salah would be out for "not more" than three weeks, which would rule him out of the Uruguay match but put him in the frame for Russian Federation on June 19 and Saudi Arabia on June 25.
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"He is doing [physiotherapy] sessions on his shoulder and working out in the gym", Leheita said.
"Salah is training individually under the supervision of the team's medical staff while the Pharaohs are holding their second training session in Grozny", reads a statement from the Egyptian Football Association's official website.
The Reds seem to be keen on signing a goalkeeper following Loris Karius' nightmare Champions League final last month.
"I can not say what we're going to reach, but the players' ambitions are high and I hope we get a good result".
Ever since picking up the injury, Salah has been in a constant battle to be ready for the global showcase, and while he may yet feature in the tournament, his participation in Egypt's Group A encounter against Uruguay remains doubtful. "We hope he will be with us for the Uruguay match".
"Uruguay have lots of big-game experience and they will be looking to Luis Suarez to provide some star quality to go with it", he added.