Discussions between Turkey, Finland and Sweden about the Nordic countries' NATO membership will continue and an alliance summit in Madrid next week is not a deadline, Turkey said after talks in Brussels on Monday.

Speaking to reporters in Brussels alongside Deputy Foreign Minister Sedat Onal, Turkish presidential spokesperson Ibrahim Kalin said Ankara was expecting Sweden to take immediate steps regarding actions by the Kurdistan Workers Party (PKK) militant group in its country.

Any progress on the Nordic membership bids "now depends on the direction and speed at which these countries will take steps," he said.

The talks in Brussels with officials from Finland, Sweden, and NATO were held in an "open and sincere atmosphere," he added.