Preparations would take only months and not years, Zelensky said after representatives of some 100 countries and organisations came together at the Burgenstock mountain hotel resort near Lucerne.
Some countries had already signalled their willingness to host such a summit, according to Zelensky.
European Commission President Ursula von der Leyen said that a prerequisite for Russia's participation would be Moscow's commitment to the UN Charter.
The final declaration of the summit, which was signed by 80 of the countries present, makes no mention of a follow-up conference.
Swiss President Viola Amherd acknowledged diverse perspectives at the conference but emphasized that it marked the first high-level discussion on a peace process. Some substantive prerequisites for a path to an end to the war in Ukraine had been created, she said.
The fact that the vast majority of the states present agreed on the Burgenstock Communique shows what diplomacy can achieve through patient work, Amherd added.
Russia had not been invited to the event and showed no interest in participating. The summit was also an attempt by the West to involve other countries in South America, Asia and Africa in peace efforts based on international law.
Ukraine is calling for a "just and lasting" peace.
--IANS/DPA
Read More International News