CM Uddhav Thackeray also said that they have called the health task force meeting on August 9 where more restrictions will be relaxed.
Currently, only frontline health workers and government staff are permitted to use local trains, which are considered as the lifeline of Mumbai.
The rain fury reminded some Mumbaikars of the 24-hour rainfall figure of 944 mm on July 26, 2005.
People blocked railway tracks in several stations in the state for around three hours on Thursday demanding that they be allowed to board staff special stations.
The positivity rate has come down to 3.79 per cent and the oxygen bed occupancy is 23.56 per cent, the city civic body said.
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This decision was implemented on June 15 barring the Vidarbha region where it will come into effect from June 26.
Restrictions on travelling in local trains to continue due to Covid-19: Maharashtra govt tells Bombay HC
The bench also noted the petitioner had not produced any documentary evidence to show that staff of nationalised banks is permitted to use local trains and dismissed the plea.
No decision has been taken on cancellation of trains in the Howrah section, an official said.
Its biggest achievement was the lowest accident figures in the last three decades, with 45 incidents reported between April and December 15 in 2018.
The Chengalpattu-Chennai Beach fast locals during morning hours run with overcrowded passengers and pass through the fast line.
According to sources, the EMU train was on its way from Chennai Beach to Thirumalpur and the mishap occured while the train was entering into St. Thomas Mount Station around 8.15 am.
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Overhead Equipment have been damaged and a team of engineers have swung into action to restore it, chief PRO of Western Railway Ravinder Bhakar informed the media.