In addition to the fate of the cargo delivered - I assume that the avgas was used by the Italians, but were the tires destroyed, or recycled by either belligerent? and then there's the question of the second voyage - Davide's original question remains interesting: presumably, the Italians paid for these attempts. I wonder what the Japanese asked for in exchange.
The Axis had very few ways to deliver goods to the Japanese, so unless I missed something payment could only be in one of the following three canals:
1 - Blockade runners shipped various goods between Europe and Japan in 1940-42. The 1942 batch found that Allied blockade had tightened considerably, and further exchanges were by submarine. It is not inconceivable, however, that some of the Axis shipments would have been in payments for the attempts to resupply AOI, though they would have to concern high-value items otherwise the volumes would be a problem (the exchanges were basically a trade already).
2 - Payment could have been in the form of some Italian shipping marrooned in the Pacific and leased to the Japanese in exchange for these trips.
3 - Japan put pressure on Vichy France to get delivery of most of Indochina's rubber production as soon as 1940. Germany in turn "advised" Vichy to accept, offering to partly pay for the stuff by crediting it as French occupation fees. This seems to have been a diplomatic move: the Germans weren't expecting anything in return from the Japanese, they were subsidizing Japan on general principles and at a time when it wasn't costing them anything (they weren't spending all of their occupation fees, that changed later in the war). Resupply of AOI might turn this into a deal of sorts.
EDIT: if anyone used the fuel it would be the Italians, not the Japanese
