May said that Britain will "stand by our obligations" for payments to the EU, and will discuss them "alongside other questions like citizens' rights."
While the German government repeated its plan on Friday to consider freezing or even ending accession talks with Turkey, European Union foreign ministers shrugged off the idea and instead stressed the need for dialogue.
In addition to EU member states, countries of Norway, Switzerland and Lichtenstein have committed to relocating people. Norway has accepted 1,508 relocated people, Switzerland 1,122 and Lichtenstein 10.
European Union member states want to improve "the exchange of information," they said after a meeting Tuesday.
Last year, Italy replaced Greece as the main destination for Europe-bound sea migrants. About 98,000 migrants have landed on its shores since the beginning of the year.
As diplomatic spat between Germany and Turkey reaches new depths, so too might voter turnout among Germany's largest ethnic minority. But discrimination at home is as much to blame as foreign affairs.