He will provide competition for Owen Farrell, who has started in Tuilagi's usual position of inside centre in England's opening three wins in the championship under new coach Eddie Jones.
Wales are second in the standings after two wins and a draw from their opening fixtures.
Exeter flanker Dave Ewers was also named on Monday in the 33-man England training squad after recovering from a knee injury.
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(Reporting by Shravanth Vijayakumar in Bengaluru. Editing by Patrick Johnston)
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