Delhi Congress president Ajay Maken thanked Kejriwal for the move, while the BJP said it would decide on its participation after consulting state unit chief Manoj Tiwari, who is currently abroad.
"We should rise above politics and come together to find a solution to the problems that have risen due to sealing," the chief minister said in letters sent today to Tiwari and Maken.
Praising Kejriwal for inviting the BJP, which rules the three Delhi municipal corporations carrying out the drive, the Congress leader expressed the hope the saffron party would participate in the meet.
The situation demands "positive politics", he said.
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The Delhi BJP said Tiwari was abroad as part of a delegation accompanying President Ram Nath Kovind and would be back by March 15.
An office-bearer of the party said a decision on Kejriwal's invitation would be taken after a consultation with Tiwari.
In January, Leader of Opposition Vijender Gupta had alleged that Aad Aadmi Party (AAP) leaders and workers had "misbehaved" with members of a BJP delegation at Kejriwal's residence when they had gone there to discuss relief to traders hit by the sealing drive.
A case was registered in the matter and some AAP MLAs were booked.
The Delhi chief minister had yesterday written letters to Prime Minister Narendra Modi and Congress president Rahul Gandhi seeking appointments with them to discuss the sealing issue and stressed the need to bring a Bill in Parliament to stop the drive.