Can't really just refer to them as 'foreign firms' either. There are different kinds of foreign firms. Many are 'fake' foreign firms which have a tie-up with a local firm, but their salaries are still based on the local firm payscale. It is not hard to get into these.

The truly international firms would be the "magic circle" UK firms and "white shoe" US firms which have an office in Singapore. You can do a quick google search on those. Only a few of them (maybe only one, ie Clifford Chance) offer training contracts to fresh graduates, and usually only to 2-3 students per year. People in there usually have first class honours and achievements in mooting competitions.

Because these firms are out of reach to 99.5% of each cohort, nobody really talks much about them.

The starting salary at these firms are in the low 10ks with a yearly increment of about 2k. Pretty sick compared to local big 4 firms which start at 5.5k with a yearly increment of about 1k.