The company said a reduced service was operating from Victoria station, and advised passengers to use Charing Cross, Cannon St, London Bridge and St Pancras stations as alternatives.
The rescue train arrived at London's St Pancras station at 0235 GMT on Monday.
She also foresees a spur linking Britain's only existing high-speed line (from the Channel Tunnel to London's St Pancras station) to Heathrow airport.
Linda Peanberg King, of Islington, north London, told St Pancras Coroner's Court she went to her GP once and the private Harmoni centre twice, after seven-week-old Axel fell ill.
BBC: Islington baby died despite doctor visits, inquest hears
It ground to a halt in Kent at about 2245 GMT, but the train brought in to replace it did not arrive at London's St Pancras station until 0235 GMT on Monday.
High Speed One, the operator of the high rail speed link from St Pancras in London to the Channel Tunnel, also confirmed it would be pleased to see rivals use the service - and as importantly, that there was the space for them.
The work can be seen at St Pancras International, London until 31 January 2013.
With passengers being warned to expect disruption for the rest of the day, trains were unable to run between St Pancras station in London and Luton in Bedfordshire.
The tunnel served the Butterley ironworks, near Ripley, which at its height employed 10, 000 people and provided much of the metal for St Pancras railway station in London.
BBC: Butterley tunnel gets Scheduled Ancient Monument status
Eurostar is switching its terminal from Waterloo station to St Pancras and will be offering quicker journey times on services from London to Paris and Brussels.
One of the stranded passengers, who was on his way to Edinburgh, said the 50-mile journey from Brighton to St Pancras took an hour and a half longer than the 330-mile London-to-Edinburgh stretch.
The new Southeastern HighSpeed service has transformed rail access to London, and also offers big time savings for journeys to places via Stratford, King's Cross, St Pancras and Euston.
应用推荐