Liverpool Coastguard says three tugs were used to refloat the Ciudad de Cadiz at around 10am this morning.
The ship is now back at the quayside at the Port of Mostyn.
Surveyors from the Maritime and Coastguard Agency will go aboard at 1pm to examine it, to see if there's any damage, and if it's safe to go to sea.
It will then go to Holyhead, where a dive survey will then inspect for any external damage.
More top news
The family of a woman who died in a queue of ambulances outside hospital are demanding action so that this doesn't happen again.
A look at how the votes will be counted and when the results of the Scottish referendum will be announced.
September is about to get a little soggy for the south overnight tonight, as the Met office issue a yellow warning to "Be Aware"!