According to Catalan outlet El Nacional, Abramovich is still disappointed with how his record signing recently expressed his unhappiness at Chelsea.
The report added that Lukaku has reportedly emerged as a target for Paris Saint-Germain as the French Ligue 1 giants look to sign a replacement for Kylian Mbappe.
Mauricio Pochettino’s side are ready to tempt Lukaku to Paris with an offer of £75.5m as they look to replace Mbappe, who is widely expected to leave PSG for Real Madrid at the end of the season.
Lukaku rejoined Chelsea from Inter Milan last summer for a club-record £97.5million.
The Belgium international hit the headlines in recent weeks for voicing his frustration with his situation at Stamford Bridge in an explosive interview.
The 28-year-old apologized to Chelsea fans on social media and has since featured twice for Thomas Tuchel’s side, scoring in their FA Cup 5-1 victory over Chesterfield on Sunday.