Is that the one with the pretty Arioso 2nd movement?
My "solo concerto", called Italian, is in F major, BWV971. 2nd mvmt Adagio.
My harpsichord and orchestra concerto in F minor is BWV 1056, not called Italian. 2nd mvmt Largo.
I didn't check them out (too tired right now), but I wonder if one is a revision of the other.
My recording of 5 solo concertos after Vivaldi (BWV 972-76) are what I called the Italian concertos, although they are not so designated.
Bach works are a challenge to straighten out.