Greek return Remington 1903

[Chuckindenver]

so
not sure why your saying Greek, CMP and CAI in the same mix...but
based on what your saying...
a 1944 barrel would be a 1903A3 barrel modified to fit the 1903. unless its marked HS as well.
i dont see anything in your pics, that jumps out and says Greek return...does it have X stamped on the stock? B stamped on the floor plate? biscut cut stock or handguard repairs? deap searial numbers stamped into the butt area of the stock matching or not?? bolt serialed on the handle to match the rifle? most iv seen numbers matched even if the parts wernt original
just wondering why you think its a Greek return...