Shortly after landing, it was involved in the fighting around Putot-en-Bessin and Villers Bocage.
On the Canadian right the II Battalion attacked the Royal Winnipeg Rifles defending the village of Putot-en-Bessin.
During the Normandy Invasion and the fighting against The Royal Winnipeg Rifles at Putot-en-Bessin, Bremer was reported to have taken part in the execution of 12 Canadian Prisoners.
After planning and positioning the regiment for a powerful thrust the 1st Battalion launched an attack towards Norrey-en-Bessin, defended by the Regina Rifles of the 7th Canadian Infantry Brigade, 3rd Canadian Division.
The battalion was ordered to move into the area of Douvres-la-Délivrande and were then ordered to move east of the Orne River to reinforce the 6th Airborne Division.