Neither Atletico Madrid forward played the full 90 minutes of the 2-0 defeat to Real Madrid, a result that ended a club-record 26-game unbeaten LaLiga run going back to last season.
Joao Felix was replaced on the hour mark, just before Jan Oblak's own goal took the game away from Atleti.
The Portugal forward failed to muster a shot or create a chance, making no touches of the ball in the Madrid penalty area.
Suarez was little better, seeing his only effort blocked and completing a meagre 10 passes before following his strike partner off the pitch with 17 minutes remaining.
The pair were each replaced by midfielders – Saul Niguez and Geoffrey Kondogbia – and made their frustration clear as they returned to the bench.
But speaking ahead of Thursday's (AEDT) Copa del Rey trip to Cardassar, coach Simeone was not concerned by their dissatisfaction.
"We have been here for nine years and what we have to talk about will happen internally," he said. "The best way to resolve situations is by talking and obviously we talk."
Saul had Atleti's best attempt after replacing Joao Felix, seeing a close-range header well saved by Thibaut Courtois, but the Spain international is struggling this season.
He has yet to register a goal or assist, while his duel success rate is at a career-low 41.9 per cent and he is also averaging fewer recoveries per 90 minutes (5.1) than in any prior LaLiga season.
"He is not having his best moment," Simeone said. "I have no doubt that for us he is a very important player.
"He has competed since he joined the team as a young man. He has always been important and this year it will not be different.
"He is working to improve. He is strong; we will see the Saul we all know again."
The Copa game against Cardassar may provide opportunities for players such as Saul to rediscover some form.
"There are players who are waiting to have those minutes and each one will make the best use of it," Simeone said. "When Atletico Madrid play, they must be represented in the best possible way."