Order total blanked after saving an imported order

After migrating a bunch of orders and their related line-items, the order total field is reset to 0 after saving the order. This does not happen if a new order is created and saved. After some debugging I found the problem seems to be the absence of at least a base price component for the migrated line-items unit price fields. When the order total is calculated all the imported line items are skipped since they have no components attached (see commerce_order.module, line 1358 and commere_price.module, line 1074). This results in a 0 total.