Ability to Communicate with The One Ring

[The Dread Pirate Roberts]

It is based on pure logic. We know that:

a) Frodo felt the urge to put the Ring on
b) it was caused by something inside the room
c) it was not the Ring itself - I deem, because it would be sort of self-reflection, the Ring would be "pinging" itself, which I just find illogical given the way the situation is portrayed. There is a "third party" besides Frodo and the Ring. C causes A to but B on.
d) there was no Nazgul in the room.

We don't know your b, c, or d for certain. Therefore we can't use them to make determinations, only educated guesses.

Regarding b, we don't know that the command came from inside the room, only that Frodo felt like that was probably the case. The implication of this feeling being stated twice in the text could simply mean the command came from close by...just outside for instance.

For c, we don't know that the Ring can't make it's wearer want to put it on; in fact many of us strongly suspect that it can embrace opportunities, whether "pinged" or not.

And though it is unlikely that a Nazgul was in the room, we don't know that d is true for a fact; and in light of the uncertainty regarding b, it doesn't really matter.