The current geo-political situation might even lead to this virus outbreak becoming an overall positive event for the Chinese government.
China has been working on a modern day "Silk Road" for some time, look up
One Belt One road initiative, it is strange that the western press is not reporting more on this. But let's just say that them helping Italy as they are now is not out of guilt or any other sentiment.
Perhaps now it doesn't come as such a big surprise that the White House is already offering aid to Italy and Europe while their own nation is still combatting the virus.
I might even go so far as saying that this China is also the reason why Orban in Hungary has grown bolder over the years. Although that is pure speculation on my part to be honest.
Geo-politics, interesting, complicated and sometimes even a depressing topic if you look at the possible outcome.
So making them pay? The US will find little to no support for this, one of the many negative side effects from having a populist, nationalistic entourage in the White House who focusses on short term plans and political wins to maintain momentum.