SRINAGAR, India, Feb 1 (Reuters) - Suspected Muslim militants threw a grenade at the main office of Kashmir's separatist alliance nearly a week after a senior leader called on guerrillas to support peace moves, but no one was hurt, police said. The attack on the All Parties Hurriyat (Freedom) Conference headquarters late on Wednesday came days after some of its leaders travelled to Pakistan for meetings with officials and top Kashmiri militants based there. "The grenade exploded inside the premises of the Hurriyat office damaging a vehicle," a police official said. No group has claimed responsibility for the attack. Mirwaiz Umar Farooq, chairman of Hurriyat, was due to return to Srinagar on Thursday along with two senior separatist leaders after the Pakistan visit. Last month militants threw a grenade near Farooq's house. Hurriyat has begun a dialogue with New Delhi to try and resolve the 17-year revolt against India's rule in the region. Farooq said during his trip to Pakistan it was time militants backed peace efforts, but he stopped short of saying they should end an armed struggle that has raged since 1989. More than 40,000 people have been killed since then, officials say. Human rights groups put the toll at around 60,000 dead or missing.