Van Persie, who is tied to United for another season, was spotted in Rome this week, leading to speculation that the 31-year-old could join Lazio.
"On Van Persie, all I can say is that I respect him as a striker but unfortunately, he is outside our parameters," Tare told Lazio Style Radio
"There has never been a meeting, this is gossip, not transfer news.
"We don't want to create illusions, this is not true."
Van Persie moved to Old Trafford from Arsenal in the summer of 2012 and scored 26 goals and set up eight more in 38 Premier League appearances in his first season with the team.
The Holland captain has struggled to show the same form the past two years, scoring 12 league goals in the 2013-14 campaign and just 10 this season.
Van Persie claimed last week while on international duty with Holland that he needed to evaluate his future.
Lazio, coached by Stefano Pioli, finished third in Serie A to assure themselves of a spot in next season's Champions League qualifying round.
Source : PA
Source: PA