In the UK we use the Optimate O47 and to connect to the Ducati. You may need another connector from the SAE end of the O47 to connect to you trickle charger.
Ducati does make one, yes. They don't come stock on the bikes, but some dealerships install them. Mine did, and I found it tucked up under the rear of the bike beneath the seat and rear fender.
Years ago when I purchased a Triumph at a Harley Davidson dealership, they gifted me their branded Battery Tender as part of their promotion when buying motorcycle in the fall/winter ( 750mA SuperSmart Battery Tender - US ).
Works like a charm and actually have it connected to my Scrambler Cafe (it came prewired from the Dealership) now.
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