Collins' questions to the president addressed two of this week's major news stories-Trump's White House invitation to Russian President Vladimir Putin and a tape that his former lawyer, Michael Cohen, released in which the president was heard apparently arranging a payment to a former model who has claimed she had an affair with him.
Speaking to reporters in South Africa, where he was attending a summit of Brics (Brazil, Russia, India, China and South Africa) nations, Putin said another meeting was still on the agenda, despite both sides appearing to back away from such suggestions after it prompted anger.
This comes just days after Putin said he is not yet ready to visit the White House.
Both leaders have called the Helsinki meeting successful, and Mr Putin rounded on US summit critics earlier this month for wanting to sacrifice the US-Russia relationship over "narrow party interests". "To be clear, we support a free press and ask that everyone be respectful of the presidency and guests at the White House".
"There are also plans to meet as part of worldwide forums", Putin added.
In a reference to the backlash inside the United States after Mr. Trump's performance at the Helsinki summit, Mr. Putin said: "Despite the difficulties, in this particular case difficulties linked to the internal political situation in the United States, life goes on and our contacts continue".
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The prime minister said her government was doing the "responsible" and "sensible" thing and not trying to alarm people. On a second referendum, Sir John told The Andrew Marr Show: "I mean, frankly, a second vote has democratic downsides".
Efforts by both Trump and Putin to achieve detente have been fiercely resisted by USA lawmakers, including some in Trump's own Republican Party, accusing him of being too friendly toward Putin, whom they consider an adversary of the United States.
"He has a desire to have further meetings, I am ready for that". The president has been widely criticized for failing to publicly denounce Russia's interference in the 2016 US election and appearing to accept Putin's denials of such activity.
He said he wanted to talk about the controversial Iran nuclear deal, saying: "It's a subject for debate and negotiations".
Collins asked. "Mr. President, are you anxious about what Michael Cohen is going to say to prosecutors?.Why has Vladimir Putin not accepted your invitation, Mr. President?"
At the Helsinki summit, Mr Trump failed to confront Mr Putin over Moscow's alleged meddling in the 2016 U.S. election.
"President Trump asked [John Bolton] to invite President Putin to Washington in the fall and those discussions are already underway".