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
We look back at some of the stories, people and events that stood out in 2014.
Italian vodka, suspicious sediment and antifreeze sold as spirits are among the potential danger signs for shoppers stocking up on alcohol.
Any showers in the north will clear away quickly to leave a dry and bright day with plenty of sunny spells.