Hello fm confined area !
Your badge is
not Lloyd Triestino as their flag had inverted colours (Trieste hallebarde // Genoan red cross)
and the badge was different (blue with Anchor and LT letters).
your badge is for
Italia di Navigazione S.p.A (1932-1998)
the crown indicate the pre-war period = 1932-1945
after 1946, the badge existed with a mural crown as other italian badge ...
All the best and keep in safe !
see :
https://en.wikipedia.org/wiki/Italian_Line