In 1914 the British and Commonwealth Nations enlarged the Enfield chamber to make room for the mud of flanders, the chamber is larger in diameter and the shoulder of the chamber moved forward approximately 1/8 of an inch than American SAAMI standards. American made .303 cartridge cases have smallish base diameters and when chambered tend to lay in the bottom of the chamber and expand on one side more than the other.
Check your headspace, and fire form your cases using a rubber o-ring around the rim. This holds the case against the bolt face when fired and when the o-ring is compressed when the bolt is closed the compressed o-ring centers the rear of the case in the chamber. (equal case expansion)
Normally Prvi Partizan cases do not have this problem because the base diameter is larger, the cases walls are .010 thicker in the base web area and the rims are thicker than any other brand of .303 British case.
Below both cases were fired in the same Enfield and you can see how much smaller the base diameter is on the right hand Greek HXP cases.
Below, rubber o-ring around the base of the case next to the rim for fire forming, NOTE, a false shoulder will work also or seating your bullets long and jaming the bullet into the rifling "IF" you do not have cordite throat erosion.
After fire forming neck size only and have the shoulder of the case hold the case against the bolt face.
If your No.1 is not within headspace limits look for a bolt head marked with the letter "S" for spare as these bolt heads are longer than normal and are lapped to the correct headspace. (easy to do on a piece of sandpaper)
Do not blame the Enfield for having a large chamber, the real problem is Lake City doesn't make heavy duty .303 cases to mil-spec for Enfield owners.
I use .312 pistol bullets and reduced loads of SR4759, Trail Boss or IMR-4895 to fire form my cases. You may want to remove the extractor when using the o-ring method to keep the extractor from cutting the o-ring.
Below, firing American commercial cartridge cases in the Enfield military chamber and stretching and thinning in the base web area.