However, Simeone hinted that, given the plaudits that have come Sevilla's way this season, Atletico's consistency in challenging Real Madrid and Barcelona in domestic and European competition deserves more recognition.
The win closes the gap between the two sides in the league table, leaving Atletico just two points behind Sevilla in fourth place as the fight for an automatic spot in next year's Champions League group stage continues.
No secret that Atletico Madrid star Antoine Griezmann is Manchester United's priority target for the 2017 summer transfer campaign.
The defeat at Atletico came five days after Sevilla failed to protect a 2-1 first-leg advantage and was eliminated from the Champions League Round of 16 after losing 2-0 at Leicester.
Jorge "Koke" Resurreccion put the result beyond doubt in the 77th before Sevilla got a consolation goal from Joaquin Correa with six minutes to play.
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He said: "First of all they are a team who finished top of their group and were the league champions previous year".
"We have taken a very hard blow and we must try to find the solutions and the authentic Sevilla".
Sevilla had been title contenders this season, but have dropped off the pace in recent weeks and are on their longest run without a victory since Sampaoli replaced Unai Emery last summer.
The Croatian worldwide had to be replaced after just two minutes after going down unchallenged.