The police dispersed the processions in various parts of Srinagar as Shia Muslims gathered to mark the Islamic month of Muharram.
The occupation that began on Saturday was the second time in days that Shia cleric Moqtada al Sadr's supporters had forced their way into the legislative chamber.
Muharram is the first month in the Islamic year and fasting during this time holds a very special place within the Alevi, a community in Turkey that belongs to a branch of Shia Islam.
No-one has claimed responsibility for the Kabul attack that wounded 40 others, and the Taliban has denied they had anything to do with it.
Ashura is a day of remembrance Muslims around the world commemorate with various traditions, ceremonies and dishes.
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