Dropping the info for it here:
Kitsune Star Gem
Aura faint transmutation; CL 1st (1st), 3rd (2nd), or 5th (3rd)
Slot none; Price 750 gp (1st), 3,000 gp (2nd), 6,750 gp (3rd); Weight —
This magical jewel glows like faerie fire, shedding light as a candle. It acts as pearl of power, except it only allows a kitsune to recover a spent use of a spell-like ability of the appropriate spell level.
Requirements Craft Wondrous Item, creator must be a kitsune; Cost 365 gp (1st), 1,500 gp (2nd), or 3,375 gp (3rd)
It does not state that it is limited to the spell-like abilities granted by the race alone. My best guess would be any spell-like ability of the appropriate level (1st, 2nd, or 3rd depending on which version you purchased) . So a Kitsune summoner could, in theory, recover the use of their class "Summon Monster I" ability..