The Ahl-e-Sunnat Wal Jamat (ASWJ), considered a front for the banned Sipah-e-Sahaba, and Jamiat Ulema-e-Islam-S (JUI-S) have said they will take "revenge on their own" against those responsible for the killings.
In the presence of thousands of policemen and law enforcement personnel, ASWJ and JUI-S leaders issued the warning during a rally held here yesterday.
Several Sunni organisations joined the demonstration purportedly organised by the ASWJ to disseminate a message of peace, love and religious harmony, but some leaders used the event to send out a strong warning to the government that they intended to "settle scores on their own".
The sectarian clashes in Rawalpindi began when a Muharram procession by Shias was passing by a Sunni seminary last week. At least 11 people from the Shia and Sunni communities were killed and over 50 injured.
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Addressing the rally, JUI-S leader Maulana Abdul Rauf Farooqi contended that the ASWJ and JUI-S consider those who participated in the Muharram procession as "killers of innocent people".
He said: "We will take revenge on our own from them in case the government does not arrest and punish them under relevant sections of the Anti-Terrorism Act and Tahafuz-e-Pakistan ordinance.
ASWJ leaders made aggressive speeches against the minority Shia sect. ASWJ leader Asadullah Farooqi said his group's workers would not spare those responsible for the killings in Rawalpindi and would "even set their houses on fire in case the government fails to arrest them".
Despite a ban on hate speeches, law enforcement agencies did not act and no case was registered against Farooqi and others who made provocative speeches.