"We are working towards an early resolution and will ensure power supply to these areas at the earliest," an emailed statement said.
"We would like to reiterate Tata Power's commitment to providing reliable and 24X7 quality power to the city of Mumbai."
India's starved power sector is struggling to produce enough electricity to meet rising demand, with blackouts common in large parts of the country.Read | Power cuts a threat to India story: Anand Mahindra
The power sector, which relies on coal for two thirds of electricity production, has warned in recent weeks its coal supplies are running dangerously low.
On Monday, India's government asked the top court to safeguard some coal mine concessions deemed to have been illegally awarded, amid fears the sector could be thrown into further disarray.
India imports vast quantities of coal, draining foreign reserves, despite sitting on the world's fifth largest reserves.