Considering the price of a Magliamo Molteni jersey it'd be worth having a tailor customize it to suit your preferences.

Seam tape may help relieve the problem. But take the jersey to a tailor or three and get an estimate for the work. They might even be able to restitch the seams with fabric rather than plastic thread (I'm assuming the jersey used monofilament fishing line type thread rather than nylon fabric thread).

That's what I did with my double knit uniforms in the Navy back in the late 1970s. Atrocious uniforms, we looked like milkmen. Black trousers, white shirts. Many of us saved our gaberdine slacks and cotton shirts for inspections and formal occasions, and wore our double knits for daily use. They used monofilament fishing line for the seams and hems. I had the base tailor use seam tape to keep the knotted ends for jabbing me. But there were only a handful of those knotted ends, not dozens or hundreds.