The six candidates are former New Zealand coach Mike Hesson, ex-Australia all-rounder and Sri Lanka coach Tom Moody, former West Indies all-rounder and Afghanistan coach Phil Simmons, ex-India team manager Lalchand Rajput, former India fielding coach Robin Singh and Shastri.
The candidates will give a presentation to the Cricket Advisory Committee (CAC) headed by the legendary Kapil Dev, and a final decision will be arrived at by end of this week or early next week.
Besides the country's first World Cup-wining skipper Dev, the newly-appointed CAC comprises Anshuman Gaekwad and former women's team captain Shantha Rangaswamy.
“These six will give a presentation for the head coach before CAC. It has been learnt that these six have been short-listed for an interview with the CAC,” a senior BCCI official said.
Before leaving for the tour of West Indies, captain Virat Kohli had said that he is in favour of Shastri continuing as the head coach of the Indian team despite the criticism he faced following the semi-final ouster from the World Cup.
While the names of Hesson and Moody have been doing the rounds for a while, Simmons, who has had successful stints with Ireland and Afghanistan cricket teams, is also in the fray now.
Simmons also served West Indies for a brief while, helping them to victory in the 2016 World T20 tournament in India before taking over as head coach of the Afghanistan national team in 2017.
Among the Indians, Robin served as the fielding coach of the Indian team when it won the inaugural World T20 under Mahendra Singh Dhoni's captaincy in 2007.
Rajput, who was the head coach of the team when it won the World T20, also had stints with Afghanistan and Zimbabwe.