All transaction types are automatically exported to Xero as part of the bank feed (see How do I export my bank feed from Soldo to Xero (left side in Xero)?) This includes transactions made on cards as well as transactions related to company wallets (such as billing, fees, and transfers from/to other bank accounts).
This is also true for exporting transaction metadata – you can update all types of transactions and export them to Xero. The only exception is internal transfers (moving money between wallets of the same currency). These transactions won't be pushed to Xero and you won't be able to export their metadata.