Can't add any card to Apple Pay on Apple Watch
I've restored my watch from backup. On the step of adding cards from configured Apple Pay it gives me the Apple Pay configuration error from Apple Watch companion application. I see all my cards in Wallet settings there but cannot add them on Watch. Tried to remove all cards, reset wallet on iPhone, logout and log in back in iCloud with no success. Even unpaired and configured my Apple Watch as a new device - just got the same error.
I inspected my Watches online in the list of devices connected to iCloud, so there was a Pay sign and one MasterCard connected to them. Yet it cannot be removed neither from cards list for the devices, nor from device list (meaning my watch) itself. I guess this is the root of my troubles.
Is there any solution to completely remove a card from the device in iCloud and smooth re-add it again?
Apple Watch Series 2, iOS 10.3.1