Writing on Twitter, Trump said he and Putin had talked about the idea of setting up what he called "a compactable cyber security unit" to prevent hacking in future elections.
Trump also said the two men had discussed the materialization of a ceasefire in Syria which began on Sunday, saying "it will save lives".
US President Donald Trump said Sunday it was suitable time to work formatively with Russia, saying his counterpart Vladimir Putin had "vehemently denied" meddling in the 2016 election.
"I strongly pressed President Putin twice about Russian meddling in our election," Trump said after returning from Europe where he met Putin for the first time. "He vehemently denied it. I've already given my opinion....."
He also said the two men had discussed the implementation of a ceasefire in Syria which started on Sunday, saying "it will save lives".
"Now it is high time they moved forward in working formatively with Russia!"
Putin and Trump met on Friday on the sidelines of the G20 summit in the German city of Hamburg, a meeting that was overshadowed by allegations that Russia sought to influence the outcome of last year's US presidential election.
The US and Russian sides have issued sharply conflicting accounts of the meeting, with Putin saying on Saturday that Trump had been "satisfied" by his denials of any Russian interference in the polls.