The Premier League trio are all believed to have sent scouts to watch the pair in Champions League action last week and could firm up their interest with formal winter bids.
Praet is the more experienced of the pair, and has been seen as one of Belgian football’s top talents for some time despite being just 19-years-of-age.
The attacking midfielder has made almost 50 senior appearances for his club side and is a regular in Belgium’s U-21 set-up.
Tielemans is the latest prodigy to graduate from Anderlecht’s famed academy set-up and is already being tipped as a potential future star.
The 16-year-old has already made seven first-team outings and operates in midfield.
The Premier League trio have been impressed by both of the youngsters, and could make serious January offers for at least one of the pair.
But, they face competition in the shape of Inter Milan, AC Milan and Juventus, who have also been watching the situation.
Chelsea, Tottenham and Arsenal all already have Belgian players, and are keen to add to their ranks from the nation.
Could Dennis Praet and Youri Tielemans be Premier League stars?
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