But Merkel also stressed that she wants to keep talking to Turkey and said there is no consensus among leaders of the 28-member bloc to completely end membership talks with Turkey, which have been underway since 2005.
Speaking at a key summit of EU leaders in Brussels, asked about her call for an end to Ankara's EU membership process during the campaign, German Chancellor Angela Merkel said: "We asked the [European] Commission to prepare an offer on reducing or redirecting EU pre-accession funds to Turkey".
Merkel has been under pressure at home to take a tougher line on Turkey, particularly as a number of German citizens have been detained in the country in recent months for what Berlin regards as political reasons.
Asked about her call for an end to Ankara's European Union membership process during election campaign, Merkel said: "We asked the commission to prepare an offer on reducing or redirecting European Union pre-accession funds to Turkey. But, the next step must be communication with Turkey".
According to government sources Tsipras said that "the issues that concern democracy and justice in Turkey are not just matters of principle for Greece, but potentially affect the defense, the security and the public order in our own country".
Amongst others, the governments of Germany and Austria have vocally called for officially ending negotiations with Turkey over its accession to the bloc as a outcome. "The perceptible change in Germany's position after the election can inspire both Ankara and Berlin to fix relations have that have already deteriorated due to various reasons", he added.
The official conclusions of the summit did not mention the agreement to cut back on funds to Turkey, stating merely that the leaders "held a debate on relations" with the country.
Other countries, including the Netherlands and Belgium, backed a diversion of the funds that European Union candidate countries receive while they are in talks to join the bloc.
President Recep Tayyip Erdoğan has repeatedly said that more than 4,000 files regarding terrorism suspects have been sent to Germany, but that no step has been taken to finish examining the files and deporting the suspects to Turkey.
"I will also make clear that Turkey is doing a great job on the refugees and that we have obligations under the EU-Turkey deal".