You can watch the entire press conference here [1]. The relevant portion, starting at 27:04, is:
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Bill Bryan: We’re also testing disinfectants readily available. We’ve tested bleach, we’ve tested isopropyl alcohol on the virus specifically in saliva or in respiratory fluids and I can tell you that bleach will kill the virus in five minutes. Isopropyl alcohol will kill the virus in 30 seconds and that’s with no manipulation, no rubbing. Just spraying it on and leaving it go. You rub it and it goes away even faster ...
Donald Trump: A question that probably some of you are thinking of if you’re totally into that world, which I find to be very interesting. So, supposing we hit the body with a tremendous, whether it’s ultraviolet or just very powerful light, and I think you said that hasn’t been checked, but you’re going to test it. And then I said supposing you brought the light inside the body, which you can do either through the skin or in some other way. And I think you said you’re going to test that too. Sounds interesting, right? And then I see the disinfectant, where it knocks it out in one minute. And is there a way we can do something like that by injection inside or almost a cleaning because you see it gets in the lungs and it does a tremendous number on the lungs, so it’d be interesting to check that so that you’re going to have to use medical doctors with, but it sounds interesting to me.
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This matches my recollection of what was being reported at the time. The fact check you linked to is about a claim by Joe Biden, not a media report.