If you hit the alient (badly spelled, but bullseye's manufactures) web page, they list 88 grn bullets. Otherwise, the standard rule of thumb is load for the next HEAVIER bullet weight and work up carefully. In your case 90 grn jhp's.
Personally, I have had poor luck with bullseye in my 380's. I prefer Unique. My standard load (which is mild) is 4.0 grns of Unique with a remington 88 grn jhp seated to .984 COL. BUT, you should check that with a competent manual (I use seirra's) and work up carefully always watching for pressure signs.