I don't think you can go to 40 S&W as a calier or 357 Sig as they have not made the 220 in that caliber and there is no block plate or mag for that caliber. You could go to 38 Super. 357 Sig and 38 super are both 9mm's with different cases. the 357 sig is just a little faster than the 38 super. They did make the 220 in 38 super and there are blocks, barrels, and mags available. The block is the bolt face and it is held in by two pins on older models and can be changed but not often as the two pins get worn out after removing them.
Why do you want to change it? And what caliber is it now?
The 220 was made in 9mm, 38 super, and 45 ACP that I know of and was imported by Browning as the BDA and it has two mag versions. American and European. The european is on the heel of the gun and the American has the push button just behind the trigger guard.