Canal+ reported that both clubs sent scouts to watch the prolific forward in action against Paris St Germain on Sunday night.
Both teams are looking to bolster their attacking lines in the coming transfer window.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.