However, these two companies are not a part of the 23 public sector undertakings (PSUs) lines up for strategic disinvestment.
The stake in BHEL may be pared in tranches to 26 percent from 63.17 percent now.
An inter-ministerial group is expected to meet soon to discuss the stake sale.
The government may also look to sell the state-run power player's non-manufacturing units to private players.
Four to five units of BHEL are reportedly marked for sale to private players this fiscal.
Earlier this month, the government cleared disinvestment in five PSUs, a move which is expected to cover nearly 60 percent of its disinvestment target for this financial year.The government has a divestment target of Rs 1.05 lakh crore for the current financial year. In both FY18 and FY19, the divestment proceeds exceeded the target of Rs 1 lakh crore and Rs 80,000 crore, respectively.Get access to India's fastest growing financial subscriptions service Moneycontrol Pro for as little as Rs 599 for first year. Use the code "GETPRO". Moneycontrol Pro offers you all the information you need for wealth creation including actionable investment ideas, independent research and insights & analysis For more information, check out the Moneycontrol website or mobile app.