In case anyone hasn't seen it, this is what the HO wrote nearly ten years ago, when the EFP proved to be of no use to airgunners:
25 November 2005
EUROPEAN FIREARMS PASSES AND AIR GUNS
Thank you for your email of 23 November about European Firearms Passes (EFPs) and air guns. We also spoke about this earlier in the week.
I can confirm that British firearms law provides for the following:
1. The Firearms (Dangerous Air Weapons) Rules 1969 requires air weapons - other than air pistols - capable of discharging missiles with a muzzle energy in excess of 12 ft Ibs to be held on a firearm certificate. Air pistols capable of discharging missiles with a muzzle energy in excess of 6 ft Ibs are prohibited firearms;
2. Section 5(1)(1) of the Firearms Acts (Amendment) Regulations 1992 says the police can only issue an EFP to somebody who has a firearm or shot gun certificate;
3. Section 5(3)(b)(ii) of the Firearms Acts (Amendment) Regulations 1992 says only firearms held on a current firearm or shot gun certificate can be entered on an EFP;
4. The requirements at 2. and 3. mean air weapons that are not held on a firearm certificate (see 1.) cannot be entered on an EFP;
5. Section 7(2)(b) of the Firearms Act (Amendment) Regulations 1992 says the police cannot require a citizen of another European Union country to produce an EFP where that person can show legislation in their country prevents them from having one for the guns in their possession.