The former premiers have questioned President Bidya Devi's role in the row of the erstwhile Nepal Communist Party (NCP), My Republica newspaper reported.
Singh urged all parties to join the meeting in a spirit of unity, in support of the farmers and in the interest of Punjab.
Thousands of farmers have been protesting at Delhi's borders with Haryana and Uttar Pradesh demanding the rollback of three new farm laws passed by the Centre.
Parties with less MPs should get ample time to put forth the issues of their states: PM Narendra Modi
Pralhad Joshi said that all-party meeting has been conducted in the presence of Prime Minister Narendra Modi and Defence Minister Rajnath Singh.
On minority affairs, the Hyderabad MP pointed out that there has only been one discussion on the subject since he was been elected as an MP.
Usually such all-party meetings are held ahead of parliamentary sessions to ensure smooth functioning of both the Houses.
This will be the second all-party meeting called by the Centre to discuss the COVID-19 situation since the outbreak of the pandemic.
Floor leaders of all parties from both houses of parliament have been called for the meeting, which will be held virtually on Friday at 10.30 am.
The House will transact business on October 4, a Sunday. However, the Assembly will remain closed on October 2 on account of Gandhi Jayanti.
Asked about what the 'brief period' meant, Pinarayi said the election could be held "after November''.