The vote — passed by 51.4 percent to 48.6 percent — drew criticism from politicians in the EU, who called for the talks over Turkish accession into the EU to be halted. However, Hahn has signaled a softening of the EU's line, by suggesting alternative methods of cooperation should be examined.
"The current situation is not sustainable, neither for them nor for us. We should say OK, let's clean the table of everything we had and look at what could be the future kind of cooperation. Elements from things which have already existed might be taken on board", Hahn said.
The talks over Turkish accession into the EU date back to its first application to become a member in 1987, but have been hampered by countless difficulties — not least the Cyprus issue, dating back to 1974 when Turkey invaded the island following the Cypriot coup d'etat.
Migrant Deal Collapse?
However, relations between the EU and Turkey have deteriorated since the signing of the EU-Turkey migrant deal, which was supposed to stem the flow of migrants traveling through Turkey and into Europe.
Contingent on the deal was the acceleration of Turkey accession into the EU and visa-free access for Turkish citizens into the EU, both of which have collapsed amid growing criticism of Erdogan's increasing grip on power.
But relations between the EU and Turkey took a further turn for the worse when Erdogan announced he was considering reintroducing capital punishment, reversing his party's decision to abolish it in 2004.
However, Hahn's intervention suggests that Brussels could be looking at finding a new relationship with Ankara, finding ways to cooperate with Turkey on some issues while not on others and finding a new relationship other than EU membership.