Ukrainian government leaders and pro-Russia separatist rebels are blaming each other for the ceasefire violations.
Trump phoned Ukrainian President Petro Poroshenko and promised to restore peace.
But between commitments to support the Ukrainian leadership in Kiev and improving relations with Putin, it remains to be seen what Trump will do.
So, will be able to restore calm in Ukraine?
Presenter: Jane Dutton
Olexiy Haran; Professor Of Comparative Politics, University of Kyiv-Mohyla Academy.
Sergei Markov; Former spokesman for President Vladimir Putin and Director of the Institute of Political Studies
Lilit Gevorgyan; IHS Global Insight analyst specialising in relations between Russia and Ukraine