Neighbour Maureen Cooper reported seeing police activity at Moazzam Begg's house in Hall Green from about seven o'clock.
She said a number of unmarked vehicles had arrived, one of which appeared to contain photographic equipment.
A small silver car and a green people carrier were taken away on low loaders, she said.
She also said Mr. Begg's wife had told her in a conversation last autumn that he had been abroad for "several months."
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Overcast and dull, with hill fog and outbreaks of rain throughout the day.
It will be a dull, damp and cloudy day for most, with outbreaks of rain. The rain will start to ease from the west during the evening.
Cloudy this evening and overnight, with mist and hill fog becoming widespread.