The BJP chief's upcoming meeting with Mr Thackeray assumes significance as Shiv Sena has threatened to take an "independent stand" in the presidential election and also in wake of the ongoing war of words between allies over issues like farm loan waiver and the possibility of snap polls in Maharashtra.
Mr Shah landed in Mumbai on today morning as a part of his extensive tour programme of various states.
Maharashtra Chief Minister Devendra Fadnavis, state BJP chief Raosaheb Danve and Mumbai BJP president Ashish Shelar welcomed Mr Shah after he landed at the Mumbai airport.
After coming out of the airport, Mr Shah accepted the greetings of several BJP workers who had gathered outside.
The BJP president then left for Shivaji Park to offer floral tributes to Chhatrapati Shivaji Maharaj, Dr Babasaheb Ambedkar, Veer Savarkar and Bal Thackeray.
Later today, Mr Shah is scheduled to meet party MPs, MLAs, state unit office bearers, morcha presidents, presidents of districts and mandals and other elected representatives in south Mumbai.
On Saturday, Mr Shah would meet the core committee members of the state at 'Vasant Smriti' - Mumbai BJP's office in Dadar.
He is scheduled to meet Uddhav Thackeray at the latter's residence 'Matoshree' in suburban Bandra on Sunday. The same day, he will attend a meeting in connection with the Pandit Deendayal Upadhyaya Birth Centenary year at Sahyadri guest house and also review various programmes to strengthen the party at the booth level.
During his visit, which concludes on Sunday, Mr Shah is also expected to interact with some intellectuals from Mumbai.
The Mumbai visit is part of the country-wide tour programme undertaken by Mr Shah from April to September, party sources said.
So far, the BJP chief has visited 10 states, they added.