Sources say 17 Congress MLAs including six ministers supporting Mr Scindia were flown by a chartered plane to Bengaluru in BJP-ruled Karnataka.
Chief Minister Kamal Nath indicated that he is fighting back with plans for a cabinet rejig. After a cabinet meet late on Monday, 20 ministers resigned.
The 15-month-old Madhya Pradesh government plunged into crisis on Monday with the shock rebellion of Congress general secretary Jyotiraditya Scindia and his faction.
The Congress is making all attempts to negotiate a compromise with Mr Scindia, once close to the Gandhis but a solution seems increasingly unlikely.
Senior Congress leaders say the speed and determination with which Mr Scindia acted signals that this may be more than just muscle-flexing, that he is going for broke. Reports suggest that the former MP is likely to join the BJP.