Luxembourg's Foreign Minister Jean Asselborn acknowledged EU's misjudgment of the situation following the July 15 failed coup attempt in Turkey.

In an interview with German daily Die Welt on Wednesday, Asselborn said "We have not fully realized the depth of the wound," he said, referring to the insufficient understanding in Europe about the huge public outcry of Turkish people to the coup-plotters.

"People who took to the streets against the coup have also demonstrated for democracy. We have somewhat underestimated this," he said.

Asselborn called for reviving EU-Turkey ties, underlining the strategic importance of Turkey for the 28-member bloc.

"European Union would have more weight in the world politics with a European Turkey. Furthermore, we would show that a Muslim country can also become a member of the Union," he said.

He also said that the EU and Turkey can resolve their differences over a planned visa-free regime within the coming months.

Asselborn said all points of disagreement that recently strained talks between EU and Turkey on visa liberalization, including differences on an anti-terrorism legislation, could be resolved.

"If the situation in Turkey would calm down again and Turkey would show willingness to comply with the Council of Europe, I believe that a solution regarding the anti-terrorism legislation would be possible in the end of this year, or in early 2017," he said.

Visa liberalization has been one of the key promises of the EU as part of a deal hammered out in March to enhance EU-Turkey cooperation in addressing the refugee crisis and to accelerate Turkey's EU membership talks.