The 22-year-old forward has impressed for the Blancos' reserve side, and the Bundesliga outfit are keen to tempt the attacker to make a return to Germanyhere.
Hoffenheim have offered £4 million for Real Madrid striker Joselu, according to AS.
The 22-year-old forward played a big part in securing promotion for the Santiago Bernabeu club’s reserve side to the Segunda Division last term.
Despite his impressive performances, Joselu's chances of breaking into Jose Mourinho’s first-team squad are limited due to the presence of attacking trio Cristiano Ronaldo, Karim Benzema and Gonzalo Higuain.
Hoffenheim are looking to beat the likes of Premier League sides West Ham and Arsenal to the young Spaniard’s signature, but may have to up their bid for the attacker.
Madrid are thought to be holding out for €8m for Joselu, who was born in Stuttgart and moved to the Bernabeu from Celta Vigo in 2008.