After winning the Premier League with Leicester City, Mahrez made a switch to Manchester City and over the years, he has become a crucial member of the side.
City failed to match Leicester's valuation of the player, understood to be around USD 113 million, and talks collapsed on the final day of the January transfer window.
Leicester City boss Claude Puel believes Riyad Mahrez is in better shape than before his self-imposed Foxes exile.
Leicester have struggled without Mahrez, losing 2-1 at Everton before drawing with struggling Swansea City 1-1 at home last weekend.
Mahrez was left out of the Leicester side beaten 2-1 at Everton later Wednesday and Puel said it had been a tricky situation for both the club and the player alike.
The Algerian winger had asked to leave the Midlands club in pre-season but only Roma made a firm offer.
City goalkeeper Bravo saved Mahrez and Vardy spot kicks for the decisive moment following a 1-1 draw after regulation and extra time.
It was a third loss in its last five league games for Tottenham, which has slumped 13 points behind first-place Manchester City, having played a game more.
Riyad Mahrez's first Premier League goal of the season secured Leicester a 1-1 draw with West Brom on Monday.
The Paris-born Algeria forward is likely to command a fee of around 50 million pounds, with Roma's offer believed to be some way short of that figure.
Leicester lacked a cutting edge and it was Boro who came closest to taking all three points at the Riverside Stadium.
Shinji Okazaki and Riyad Mahrez scored as England's miracle club Leicester City beat Club Brugge 2-1.