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Aldgate tube station reopened on Monday and the Metropolitan line will return to full service during the day.
Stockwell tube station has reopened after a man was shot by police at the South London station on Friday.
Transport officials said they had largely managed to restore services on the Victoria and Northern Lines.
The Warren Street, Shepherd’s Bush and Oval stations have all re-opened after being closed on July 21.
The Hammersmith & City and Circle lines remained closed following the explosions on the July 7, while the Piccadilly Line continues to be suspended between Hyde Park Corner and Arnos Grove. There is no service on the District Line between High Street Kensington Station and Edgware Road Station in either direction.
TfL said it was doing everthing possible to restore services on the District, Metropolitan and Circle lines by August 2, if not before.
Anyone with further enquiries about travel information can also contact Transport for London on 020 7222 1234 or visit the website at www.tfl.gov.uk.
Summary of transport information
Live traffic updates 24 hours: 08700 660 115
London roads website: Click here
RAC Greater London traffic news: Click here
For information on car sharing go to: Liftshare.com
See this real-time information website for the London Underground
For more detailed information, click on the links below:
National Rail Enquiries site.
Heathrow, Stanstead and Gatwick airports were operating as normal.
No current problems reported.