The Madrid outfit are keen to lure the Argentina international to the Vicente Calderon stadium this summer as they look to reinforce their squad for next season.
Tevez is under contract with Juve for another year but has long been linked with a potential return to Boca Juniors.
“One always gets excited if you have players like Tevez,” Simeone told Spanish sports newspaper AS when asked about his compatriot.
“More than the goals he can score per season, he has football running through his veins.
“It would be an ideal reinforcement considering the way we experience football at Atletico Madrid.”
Tevez, who joined the Turin giants from Manchester City in a B#10million transfer in 2013, was Juve’s top scorer this season with 20 league goals. He also set up seven more to help Juve clinch their fourth straight Scudetto.
One Argentinian striker who is on the verge of signing for Atletico is Villarreal’s Luciano Vietto.
Vietto scored 12 goals in 32 Primera Division appearances for the Yellow Submarine in the 2014-15 campaign and is set to join Atletico in a reported B#15million transfer deal.
Simeone knows Vietto well having signed the player from Estudiantes while he was in charge of Argentinian side Racing Club in 2011.
“Vietto is one of our aims,” Simeone said. “We are close to signing him.
“I hope we can have him with us next season because he is a player that has extraordinary characteristics.”
Simeone, meanwhile, has ruled out the return of Monaco’s Colombian forward Radamel Falcao to Atletico this summer.
Falcao, who spent two campaigns with the Rojiblancos before signing for Monaco in 2013, has endured a difficult season on loan at Manchester United, scoring just four goals in 29 appearances.
“Falcao’s situation is not an issue that we have spoken about with the sporting directors,” Simeone said. “It’s true that he gave us a lot but our sporting plan is not heading in that direction.”