The striker has built a strong reputation in Ligue 1 with Monaco.
At just 18 years of age, Mbappe has become a regular member of their first XI, having scored seven times and registered five assists in the league since October.
That has attracted the attention of Arsenal boss Arsene Wenger, who has heaped praise on the French forward dubbed the ‘next Thierry Henry’.
Kylian Mbappe has shone at Monaco in France, attracting attention in England
But Mauricio Pochettino has built his Spurs squad on developing young stars, and Mbappe’s potential is appealing.
And Mbappe’s latest contribution on Saturday further highlighted his clear talent.
The France Under-19 international netted a hat-trick in Monaco’s 5-0 win at home to Metz.
Kylian Mbappe scored a hat-trick for Monaco against Metz on Saturday
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Cristiano Ronaldo, Messi and Neymar are phenomenal. I'm still far away [from that level]
But the teenager is remaining humble despite the hype surrounding him, playing down comparisons with the world's best players after the weekend victory.
"Cristiano Ronaldo, Messi and Neymar are phenomenal. I'm still far away [from that level]," Mbappe said.
"The hat-trick came because of a really top match by the whole team, now we're going to try to concentrate and recover well to get ready for the game next Friday [at Bastia].
Kylian Mbappe has been compared to Thierry Henry by Arsenal boss Arsene Wenger
"I prepared my game normally, there was nothing special. I got a good feeling."
Mbappe could yet follow in the footsteps of ex-Monaco star Anthony Martial in switching to the Premier League.
However, he is expected to cost any club a hefty fee, with Manchester United having paid £36m plus add-ons for Martial in the summer of 2015.