France, Dec. 31 -- Travellers trying to cross between London and mainland Europe in the run-up to the New Year were left scrambling on Tuesday after all Eurostar services linking the UK capital with Paris, Amsterdam and Brussels were postponed.

Eurostar said services had restarted but warned that problems could continue.

"Services have resumed today following a power issue in the Channel Tunnel yesterday and some further issues with rail infrastructure overnight," the operator said.

"We plan to run all of our services today, however due to knock-on impacts there may still be some delays and possible last-minute cancellations."

Earlier on Tuesday, Eurostar advised customers to postpone their journeys, warning of severe delays and the r...