The Spanish sports paper state that the La Liga giants were impressed with the young full-back’s performance during Galatasaray’s friendly with Madrid.
The 22-year-old left-back provided an assist in the 2-2 draw against Sivasspor on the weekend and has established himself as a first team regular since joining from Gremio in 2013.
Daily Star reported that the Lions turned down a £5 million offer from Chelsea for the Brazilian full-back.
Galatasaray are understood to be holding out for at least £10 million for their star left-back.
Chelsea have been on the look-out for a new left-back following Felipe Luis’ return to Atletico Madrid earlier this summer but did recently complete the signing of Baba Rahman.
Telles provided a total of two goals and three assists in 56 games for the Lions last season.