The Reds are monitoring the situation and have registered their interest in the player.
Real Madrid are leading the race to sign Mbappe for what is almost certain to be a world-record transfer fee.
Other clubs, including Arsenal and PSG are also interested.
Monaco want to keep him but there are reports in the French press he has turned down a 900 per cent pay rise. Monaco are willing to up his wages from £16,000 a week to £140,000 a week.
The 18-year-old forward scored 26 goals and added eight assists last season as Monaco were crowned Ligue 1 champions and advanced to the last four of the Champions League.
Mbappe became the second youngest player to play for France [behind only Maryan Wisnieski] when he made his debut against Luxembourg in March, aged 18 years, three months and five days old.
Source: Sky Sports
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