Ramos reportedly insulted the linesman during Saturday's 0-0 El Derbi between rivals Atletico and Madrid at Wanda Metropolitano, where no action was taken amid the allegations.
Atletico's Diego Costa received an eight-game ban for abusing referee Jesus Gil Manzano in the club's loss to Barcelona last season.
Asked about Ramos' comments, Simeone told reporters: "What happens on the pitch stays on the pitch, but the linesman knows what he said."
Neither Atletico nor Madrid could find a way through in the Spanish capital, where the points were shared with a goalless draw for the third time in three seasons.
The result left Madrid a point clear atop the table after seven games, ahead of neighbours Atletico and their perennial title rivals Barcelona.
"In the first half we were dominating the game and we couldn't find any solutions [in finding a goal] at the end," Simeone said.
"We're having a hard time in that aspect. In the second half, [Jan] Oblak saved [Karim] Benzema's header. It was a tight game, with both of us missing what it takes to win the match."
Karim Benzema nearly snatched the victory for Madrid with his headed effort 15 minutes from time, forcing a great save out of Atletico goalkeeper Jan Oblak.
Joao Felix and Saul Niguez went closest for Atletico, who registered just one attempt on target as their winless run in competitive meetings with Madrid stretched to a seventh match.
Oblak added: "We didn't risk much and neither did they. Neither of us wanted to lose, so I think a draw is the fair result.
"We'll improve in the next matches."