Navy wool coat with red interior

I lost my navy wool coat yesterday around 3pm near the Duomo and Piazza della Signoria in Florence. It's a size M, double-breasted wool coat from Zara, in decent shape with a couple of tiny moth holes on the left cuff and a frayed button on the sleeve. The red satin lining is easy to spot, and inside the left pocket there's a small white embroidery with my initials 'A.R.', easy to confirm if found. This coat was a gift from my grandmother and it really means a lot to me; I would be eternally grateful to get it back.