Thomas said it was a challenge to paint Trump because his light hair, tan skin and lack of dark creases under his eyes make his face mostly just "a light warm color".
Thomas has another version of this painting, titled "The Democratic Club", featuring Democratic presidents like Barack Obama, John F. Kennedy, and Bill Clinton.
It soon sparked social media mockery.
If you look closely at the screenshot 60 Minutes shared, there is also a bowl of Starburst candy near the photo. A cheery Gerald Ford stands behind Trump and a small variety of other former presidents, such as Grant and Coolidge, peep out from the backdrop.
The painting could be seen in Sunday night's episode of "60 Minutes", which interviewed Trump at the White House.
Although art aficionados might wince when gazing at the White House's newest wall decor, there's more going on in this painting than meets the eye at first glance.
Previously talking to Time magazine, Thomas pointed out that he had also added a nod to feminism, as he put it, in his painting - the blurred image of a woman approaching the table out of the crowd. Trump was so enamored of Issa's gift, he called the artist, Andy Thomas, to tell him how much he liked it.
He painted Trump's face twice - the first one he was "happy with" but said "it wasn't the smile we usually see, so I found a bunch of photographs with this particular smile and I thought it seemed more appropriate". "He was very complimentary". "As I was doing the painting, I was thinking that these guys are kind of intimidating in a way".
Here's to hoping he's right-and that Trump would offer her a Diet Coke.
"I work very had on the presidents' likenesses ... there's no satire", said Thomas, who cited Norman Rockwell as one of his influences.
It could be any Republican president's fantasy: hanging out at a bar with fellow conservative American leaders of years, decades, and even centuries past.