Speaking near the scene of Thavisha Peiris' murder, Detective Superintendent Lisa Ray described the attack on the pizza delivery worker as "brutal".
"What makes it more tragic is Thavisha was on his last day, he'd just secured a good job in Sheffield as an IT consultant," Detective Ray told reporters.
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The Marienparadies cloister, about 31 miles south of Salzburg, is home to 30 nuns and one priest.