The Daily Star reports that Arsenal boss Arsene Wenger is keen to bring in the 28-year-old in January as cover for Olivier Giroud.
Wenger considered making a move for Ba last summer after having failed to sign the likes of Gonzalo Higuain, Luis Suarez and Karim Benzema.
Ba has failed to make the expected impact at Chelsea since joining the club from Newcastle United.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.