So it would be better to buy in Singapore? I was also given the choice to buy at overseas university, if I did not buy one in Singapore.
I think hospitalization wise, it is better to buy with the overseas uni instead. This is because although some if not all private integrated shield plan covers overseas hospitalization, the price tag is heavier and more importantly, it is pegged to local rate.
So what if the hospitalization bill is more expensive in Taiwan (Since you as a foreigner there, you don't expect to get subsidy and most likely you are required to stay in higher ward class / private hospital equivalent depending on host country's healthcare system)? I am not sure, but if that is the case, then you still can get bill shock if you experienced sh!t.
If the hospitalization bill is (much) cheaper than Singapore there, then whats the point of getting expensive hospitalization plan when the local plan there is much cheaper. Since this is NOT an endowment, so you can always opt to pay monthly / semi-annually to cover the term that you are on exchange.