"I think in many ways we're talking past each other," Cuomo said.
Despite well-documented shortages of testing supplies, Trump and White House aides have insisted that states have enough test capacity to move ahead with the first phase of efforts to reopen their economies.
The hot-and-cold relationship between Trump and Cuomo has been on full display in their respective briefings and Twitter posts during the crisis. In recent days, Trump has admonished Cuomo to "do your job."
Cuomo, in turn, has questioned Trump's grasp of the Constitution and suggested the president is trying to act like a "king."
For all of that, though, Trump said yesterday that "we, believe it or not, have — we get along. Okay?"
He added that Cuomo had been "very generous" with recent praise.
Through daily briefings and scores of media appearances, Cuomo has in many ways emerged as the Democratic face of the response to the pandemic.
With the party's likely presidential nominee, Joe Biden, largely sidelined at his Delaware home, Cuomo has become one of several governors thrust into the spotlight as the pandemic has forced a reordering of American life.
As Cuomo conducts briefings from New York, he has vacillated between being Trump's foil and his unlikely ally.
The two Queens natives — they grew up just a few neighbourhoods apart — have traded barbs on Twitter but also consulted in late-night phone calls.
Asked if he's had to walk a "fine line" in dealing with the President, Cuomo said: "Life is a fine line."
"He has no problem telling me when he disagrees," Cuomo told reporters today before departing for Washington. "And he tells me when he agrees. I have no problem telling him when I disagree and when I agree."
Cuomo, according to aides, has deliberately used both the carrot and the stick in dealing with a President who is extremely sensitive about his media image and how governors respond to him.
At times, he has preemptively praised the President on cable news hits, trying to gently persuade him to do more. He has made a point of thanking Trump — resulting in video clips that the President has eagerly showed off in the White House briefing room in recent days.
But at other times, Cuomo has shown no hesitation to lace into the President, including during a recent monologue in which he urged Trump to stop watching television and to "get back to work" safeguarding American lives during the pandemic.
Trump often catches at least some of Cuomo's daily briefings and has expressed annoyance to aides at the positive press that the governor has received, according to advisers. He has revelled in the bits of praise he has received from Cuomo — and other Democratic governors.
Cuomo and other governors are also pushing for US$500 billion in unrestricted aid from the federal Government for states to offset revenue shortfalls resulting from the outbreak.
The Senate is nearing agreement on a nearly US$500 billion coronavirus aid package for small businesses, including additional help for hospitals and virus testing. Cuomo said he was disappointed it didn't include direct aid for states.
"I think it's a terrible mistake not to provide funding for the states," Cuomo said. "I get small businesses, I get airlines. How about police? How about fire? How about health care workers? How about teachers?"
- AP