The exit polls on television channels on Monday projected that the BJP-led National Democratic Alliance (NDA) will retain power at the Centre again. Most of the pollsters gave Prime Minister Narendra Modi a clear majority in the 543-member Lok Sabha.
The TDP chief's deliberations are part of his efforts to unite non-NDA parties and bring them together on one platform.
The Sena's proposal, however, was rejected by another NDA ally, Union Minister Ramdas Athawale of the Republican Party of India, who said that burqa should not be banned as it forms part of the country's tradition.
Former Congress spokesperson Priyanka Chaturvedi, who joined Uddhav Thackeray led-Shiv Sena recently, has been made an 'Upneta' in the party.
Soon after Priyanka Chaturvedi joined the Shiv Sena, Congress spokesperson Randeep Surjewala said it is a matter of pain for the party and wished her luck for future.
Priyanka said, "I know I will be held accountable for my past statements and my views and that how I came to this conclusion but I would like to say that this decision of joining Shiv Sena I have taken after a lot of thought."
Modi and Thackeray last shared the dais in Mumbai in December 2016 at a function to lay the foundation stone of the Chhatrapati Shivaji Maharaj memorial off the Arabian Sea.