Don't suppose you can share a screenshot of it? I'd like to see it, 1) out of curiosity, 2) because that will help figure out how you can simplify the model to reduce the file size.
Without seeing it, I'd recommend trying to export/import it again, both as a STEP and as Parasolid. See if the new import has a smaller size.
Does Solid Edge provide, or have you tried, using any of the "optimize" geometry commands? If it is available, the command is usually found by right clicking on the body feature. Otherwise, it is found under the INSPECT tab.
what I just tested - of course with a different and smaller assembly - was, do save the ASM as JT (with precise geometry) and opened it into as part.
for comparing I did the same using parasolid as export/import method and the resulting two files were in a 1/3 ratio from filesize.
Depending on what You are doing with the machine dummy geometry thies could be a different approach to reduce the file size