Aside from the 35mm bit for the cup mortise, you'll need one right (black) and one left (orange or red) 5mm x 57mm bit.
Any brand of 10mm x 20mm shank bit can be used with the Minipress (Freud, CMT, FS), just don't buy them from Blum as they'll rip you off. European Tooling has the best prices:
http://www.europeantooling.com/drillbits.html
I'd wager there's some factory in Italy making them for everyone else.