Tevez, who made his name at Boca Juniors, West Ham, Manchester United, Manchester City and Juventus among others, was one of several high-profile players Sydney FC have spoken to as they continue to look for a marquee, reports Fox Sports.
However, no deal is expected to be completed between the Sky Blues and the 34-year-old, as Sydney's search to fill the gap left by former marquee striker Bobo and Johnny Warren medalist Adrian Mierzejewski rolls on.
Sydney had previously been close to securing a deal with Spanish legend Fernando Torres, only for the former Atletico Madrid striker to agree a deal with J-League club Sagan Tosu.
Elsewhere, Melbourne Victory are expected to wrap up a deal this week that would make Japanese legend Keisuke Honda one of their marquee signings.
Victory coach Kevin Muscat discussed the potential move in an interview with Macquarie Sports Radio.
Muscat was reluctant to delve too deep into the matter for fear of derailing talks between the club and the former AC Milan star, but said Honda had already shown what he could bring to the competition based on his exploits against the Socceroos.
"Many of these type of marquee players have become available and have been offered to us," Muscat said.
"My immediate reaction is every decision we make is based around football first - not commercial, not marketing, not anything like that.
"When Honda's name was floated about, not only was I interested, I think everyone was interested because I think he's still got a lot of football (left in him) and he can add and give something back in terms of football to our competition.
"At this stage, I've no comment really to make on where we're at or what we're doing ... (but) I'll give you that and you can read between the lines."