Cavani had five shots across the 90 minutes, but only hit the target on two occasions - the Paris Saint-Germain marksman seeing a late free-kick thud into the post.
Gimenez's goal took Uruguay level on points with Group A leaders Russian Federation and boosted their chances of making the knockout stages for the third successive World Cup after reaching the semi-finals in 2010 and last 16 in 2014.
The Pharoahs dealt well with Uruguay's threat and Cuper clearly felt that it was safe to keep Salah back for more winnable games against Russian Federation and Saudi Arabia.
It looked like a wise move with 89 minutes on the clock as Egypt headed towards a goalless draw and a valuable point against the strongest side in the group.
Oscar Washington Tabarez's men need to be at their best, given their poor World Cup opener record - they have not started their quadrennial tournament finals campaign with a win since 1970. The Liverpool striker injured his shoulder in the Champions League final against Real Madrid. "I know Salah very well, he's not fearful, we always know we're running a risk when playing a match, that's something we can't hide", he said.
This match will likely prove to be decisive in terms of which team wins the group if one team manages to pick up three points here, but it could be a close contest.
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"Uruguay is a team that's always a threat on set pieces.
But we had matches in qualifying without Suarez and Cavani, and that's just how it is".
It's worrying signs for Egypt as they scored only one goal in the absence of Mo Salah. With a victory, Uruguay could reach the next stage with a game in hand against host Russian Federation on June 25.
Salah was forced to leave the stadium teary-eyed after the first 30 minutes of the game.
"During this period, all the players observed Ramadan", Cuper said.
However, far from his usual role as the aggressor on the field, Ramos had to act as a peacemaker on Thursday as Spain tried to move on from a dramatic few days that have rocked their World Cup preparations.