Producing a chord progression from a solo isn't very difficult if you know what to look for. If the solo is in C major, then you can use that scale and it's subsequent chords (the list that Christoph has provided above) to derive a progression.

By taking the accented or significant notes in each phrase of the solo, you can use those notes and compare them to the notes found in the chords and roughly line them up. There isn't one set progression that you have to use for a given solo. If you dont use all of a chord significant notes (i.e. the 1, 3, and 5), then you can probably get away with using almost any chord derived from the scale. The best way to figure it out is to record the solo, and play it back while you experiment with different chords in different parts of the solo. If all else fails, just use your ear. If it sounds good, go with it. That's the whole point of music.