A Kremlin spokesperson said Mr Putin and Mr Trump had agreed to meet, with the Russian president inviting the US leader to visit Moscow.
Mr Trump added that his phone conversation with Mr Zelenskyy "went very well", suggesting that "he [Mr Zelenskyy], like President Putin, wants to make PEACE".
Ukraine must be put in a "position of strength", European countries including Britain, France and Germany have said as Donald Trump prepares to open peace negotiations with Vladimir Putin.
Meanwhile, Ukraine's president wrote on X that he had a "meaningful conversation" by phone with Mr Trump to discuss "opportunities to achieve peace" and the preparation of a document governing security and economic cooperation.
Meanwhile at a White House news conference on Wednesday, press secretary Karoline Leavitt said she was "not aware of" Mr Trump putting any preconditions on his meeting with Mr Putin.
