He went MIA in September 1942 after a dogfight with a Spitfire having previously survived an emergency landing in HJM's machine:
Notlandung = Forced Landing
Luftkampf = Dogfight
Bf 109F-4/trop, 8693, Berben, Fw. Karl-Heinz, 1, I., 3., JG 27, gelbe, 14 +, SL+KU, , 27-Jun-42, Notlandung due to engine trouble., (Marseille's machine)., Ob.Bhf.Süd/Afrika, Gen.Qu.6.Abt. (mfm #6)-Vol.10; Prien, et al, Die Jagdfliegerverbände, VIII.1, p.193; Prien/Rodeike/Stemmer, Stab & I./JG 27, p.543, LEMB, Marsa-Matruh, 100%, F.
Bf 109F-4/trop, 8385, Berben, Fw. Karl-Heinz, 1, I., 3., JG 27, gelbe, 3 +, , , 01-Sep-42, MIA due to Luftkampf with Spitfire., , Ob.Bhf.Süd/Afrika, Gen.Qu.6.Abt. (mfm #7)-Vol.11; Prien, et al, Die Jagdfliegerverbände, VIII.1, p.194; Prien/Rodeike/Stemmer, Stab & I./JG 27, p.544, , Raum Imayid, südöstlich El Alamein, 100%, F.
https://www.google.com/url?sa=t&source=web&rct=j&url=http://forum.12oclockhigh.net/showthread.php%3Ft%3D43841&ved=2ahUKEwiug5a6gajwAhWJB80KHbB2CqAQFjAMegQIFBAC&usg=AOvVaw0DV6ckFVd6JoEz9_4OxcDl----------
Another source lists the same date but reason unknown (in 8385):
1-Sept-42
Karl-Heinz Berben 3./JG 27
Bf 109 F-4/trop (8385) Yellow 3
Unknown reason
Near Imayd
http://www.luftwaffe.be/missing-in-action-jg-27/----------
Third source states: MIA 1 September, 1942 near Imayd, during aerial combat with British fighters near Imayd. Mombeek. Known to have made a force landing between Fuka and Mersa Matruh on 27 June, 1942, although no combat occured, reason unknown. One known Desert victory, a Hurricane II of either RAF No. 33 or 213 Sq. in the Mukheisin area, southwest of El Hammam on 27 July, 1942. Alternate spelling: Berban.
http://www.aircrewremembered.com/KrackerDatabase/?s=100&q=heinz