But the GJM has ruled out withdrawing the indefinite strike that it began in Darjeeling on Monday.
It says such a decision would depend on the outcome of the tripartite talks.
"We will not call off the bandh. We are for a tripartite meeting and the question of withdrawing the bandh will depend on the course of discussions in a tripartite meeting," GJM President Bimal Gurung was quoted as saying by PTI in Darjeeling on Tuesday.
He said West Bengal Chief Minister Buddhadeb Bhattacharjee had earlier set precondition for talks with GJM saying discussion could be held keeping aside the separate statehood demand but now he said the government did not have any precondition for talks.
"It is late now. It would have been better if he had said so earlier," Gurung said.The Centre and the West Bengal government have, however, made it clear that they favour talks without any preconditions.
Buddhadeb has made it clear that the state government favours a political solution to the problem.
Gurung had earlier turned down Buddhadeb's invitation for talks with him on June 18.
The GJM also claims 13 parties, including the Congress, Trinamool Congress and the BJP, had unanimously decided to support the demand for a separate Gorkhaland state.
The GJM-backed meeting in Darjeeling asked the Centre to create “a separate state of Gorkhaland comprising areas of Darjeeling and contiguous areas of Dooars.”
The BJP, Congress, Trinamool Congress, CPI, All-India Gorkha League, Sikkim National Front, Indian Muslim League, GNLF-C (a breakaway group of the GNLF), CPRM (a breakaway group of the CPI-M) and Hill Congress attended the Darjeeling meeting, claimed GJM central committee member D K Pradhan.
The Gorkha National Liberation Front (GNLF) of Subhash Ghising and the CPI-M, which heads the West Bengal government, didn’t attend the meeting.