Express Sport understands Abramovich will also play a huge hand in convincing Luiz to return to the Premier League.
David Luiz - 5 things you need to know
It is said the Russian owner was gutted when he left and would love to re-sign him.
Abramovich apparently grew fond of the Luiz when he first arrived at the club, and he was groomed to be a future captain before he was shipped off to France.
The Blues signed Luiz in January 2011 form Benfica for £21m and he spent three years at the club, making 143 appearances.
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