The Spanish Government needs to hold inclusive talks with Basque separatists ETA as soon as possible, according to Sinn Féin.
Party President Gerry Adams welcomed Sunday's ceasefire announcement by the armed group and said the authorities should act quickly.
He added the George Mitchell non-violence principles which had worked so well in Northern Ireland were also important to the Iberian conflict.
"It is now vital that the Spanish Government respond positively and grasp the opportunity to advance a peace process presented by today's announcement and quickly establish inclusive political negotiations," he added.
ETA said it took the decision several months ago "to put in motion a democratic process".
The Spanish government has not responded. In the past it has said it will only negotiate with ETA if it renounces violence and disarms.
ETA's campaign has led to more than 820 deaths over the past 40 years.
It has called two ceasefires in the past, but abandoned them both.
The Irish peace process is seen as a blueprint internationally and there have been contacts between the two regions in an effort to bring about a cessation of violence.
East Londonderry DUP MP Gregory Campbell said ETA has been shown that terrorism cannot work.
"ETA, much like the Provisional IRA in 1994 has called its latest ceasefire because its terrorist campaign has failed to advance its aims. Successive Spanish and French governments have rightly adopted a tough stance with that murderous organisation: ETA has been shown that terrorism cannot work", Mr Campbell said.
"In their dealings with ETA I would urge the Spanish and French authorities to learn from the mistakes that were made in Northern Ireland. Due to weak leadership and a failure to hold to a bottom line it took 13 years from the first IRA ceasefire to force democratic standards and support for the rule of law on Sinn Féin."
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