The conference in Crans Montana, Switzerland was attended by Greek and Turkish Cypriot delegations, envoys from Greece, Turkey, the United Kingdom, observers from the European Union and the UN team.
Guterres said an agreement was "not possible" but this did not mean that other initiatives could not be developed to address the Cyprus problem. He added differences remained between delegations on a number of issues that he refused to specify.
Cyprus has been divided for more than 40 years.
In 1983, Turkish Cypriots declared the Turkish Republic of Northern Cyprus. They claimed the move would protect them from attacks by Cypriot Greeks supported by Athens.
The international community considers northern Cyprus, recognized only by Turkey, to be part of the Republic of Cyprus.
Greek Cypriots find the presence of Turkish troops on Cyprus threatening and have sought their full withdrawal, but Turkish Foreign Minister Mevlut Cavusoglu has ruled it out.