The Senegalese star has been in impressive form the Romanian outfit both domestically and on the continental stage this season.
This has led to reports that the Premier League trio are monitoring the situation ahead of a possible swoop next month.
The 27-year-old has gained a reputation as a goal scoring winger during his time in Europe, which has been shown by his four goals in five Champions League appearances this year.
It’s unclear which side holds the upper hand in the chase for Sougou, but the presence of fellow countrymen Demba Ba and Papiss Cisse at Newcastle may give them an advantage
Villa are also firmly in the race and are expected to bring in delve into the transfer market this winter as are Norwich who are thought to be looking to strengthen their attack.
Sougou’s career began in his homeland before he moved to Portugal playing for Uniao Leiria and Vitoria Setubal.
His most successful spell came with Academica, for whom he made almost 100 appearances.
Cluj swooped for his signature in 2011, handing him the number 99 jersey.