Bulgaria's prosecutor general, Sotir Tsatsarov, confirmed the arrest of Severin Krassimirov, a 21-year-old Bulgarian citizen, but gave no further details of his location. German authorities were not immediately available.
"We are currently following a European arrest procedure. The German prosecutor has arrested the suspect, they will then assess how to proceed," Tsatsarov said.
He said it evidence suggested it was "a spontaneous attack, not premeditated."
Interior Minister Mladen Marinov said investigators had found DNA evidence on the clothes and body of Viktoria Marinova, who was raped and strangled on Saturday in the northern town of Ruse.
"There is physical evidence to link to the murder," Marinov said Wednesday. He said Krasimirov, a resident of Ruse, had a criminal record for scrap metal theft.
The minister said investigators had spoken to Marinova's family and friends and "there is no apparent link to her work."
Marinova hosted a show last month featuring two investigative journalists who were detained for their work on suspected fraud involving European Union funds.
While Marinova didn't appear to have been closely involved in the fraud investigation, her show touched on a sensitive subject in Bulgaria, where corruption is endemic. The Balkan nation, which joined the EU in 2007, was ranked 71st on Transparency International's corruption list last year.
Joining the bloc opened an enormous spigot of possible new funding for Bulgarian infrastructure projects or other programs designed to bring the nation up to EU standards.
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