Both athletes have pointed to contaminated food supplements as the reason why they failed the tests, which have cast a cloud over the build-up to the athletics world championships in Moscow next month and put sprinting in the spotlight.
The daily quoted Paul Doyle as saying in an interview that both Powell and Simpson had only recently begun working with Canadian physio Chris Xuereb at his base in northern Italy.
Both athletes tested positive for oxilofrine at the Jamaican championships last month.
Italian police reportedly brought Xuereb in for questioning and raided his base on Monday, although the country's news agency ANSA said no arrest had been made.
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"Asafa and Sherone have been working with WADA (the World Anti-Doping Agency) to arrange this police raid, so to speak," he was quoted as saying.
"Once we knew of the positive test, we realised that Asafa and Sherone were the only two athletes in the group who had been given new supplements by this phsyio that they are working with.
"It's obvious there's no other reason why he would have tested positive other than something being in the new supplements he's been taking.
"So we immediately asked WADA to get the police there to go in and search everything in the physio's possession as well as everything in Asafa and Sherone's possession.