The Bundesliga champions had three offers for the 18-year-old rejected in the winter transfer window, the largest believed to be worth around £36m.
Chelsea risk losing their star winger for nothing in January
Bayern Munich are set to return for Callum Hudson-Odoi with a £45 million ($57m) offer for the Chelsea starlet, reports the Daily Mail.
The bid would be £10m more than the Bundesliga champions offer the Blues when they made a play for Hudson-Odoi in January.
New Blues boss Frank Lampard wants to convince the winger to remain, but if they do not accept the bid, Chelsea risk losing Hudson-Odoi for nothing on a pre-contract in January.
