Simeone's third-placed side turned in a disappointing performance at the Ramon Sanchez Pizjuan.
The fiery contest featured 11 yellow cards, with seven being shown to Atleti players. However, Simeone was far from disappointed.
"I found it a very exciting match," Simeone said. "I loved the efforts of whose who played.
"We go game by game. It's a good point because we compete against a direct rival."
Sevilla are now seven points behind fourth-placed Valencia in the race for UEFA Champions League qualification. But coach Unai Emery echoed the sentiments expressed by Simeone.
Emery said: "We are not leaving happy, but we are satisfied, considering work we put into the game."
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