The Algerian international has just come to the end of a formidable campaign at Sporting Lisbon with 31 goals in 44 appearances across all competitions.
Leicester City are known to be targeting the 6 foot 1 striker, with A Bola recently speculating a £23million bid for the summer transfer window.
But the Portuguese publication’s latest reports suggest the Premier League champions are no longer alone in their pursuit of the 27-year-old front-man.
They claim Tottenham Hotspur are also chasing the 42-cap international, presumably as back up to first-choice striker Harry Kane.
The England star finished up as the Premier League’s top scorer for 2015/16 with 25 goals but ended up starting every league fixture for the north London club – a huge burden on a 22-year-old.
Slimani’s contract is known to include a £23million release clause.