Detective Chief Inspector Andy Redwood said tracing the man, said to have "an unhealthy interest in young white Adidas X 16.1 Blackout
Of the 12 offences, there were four in Carvoeiro, six in the Vale da Parra, Praia da Gale district and two in Praia da Luz, where Madeleine was staying when she went missing in 2007.
female children", is one of his priority lines of inquiry.
added: "We need to establish the identity of this man.
"These offences are very serious and no one Puma Evopower Cleats has been charged in connection with them. We also need to eliminate this man from our inquiries and ascertain whether these offences are linked to Madeleine's disappearance.
"While some of these offences have been in the public domain before, following our appeal in October three more were reported to us as a direct result of that appeal. One of those reports we believe is the first in the potential series.
Police search for pervert who abused holiday homes girls in Algarve
DCI Redwood's team have 38 people classed as "persons of interest" to the inquiry and are also sifting through details of 530 known sex offenders whose whereabouts they cannot account for. Adidas Predator Mania Blue
Witnesses describe the man as having dark, tanned skin with short, dark unkempt hair. He spoke in English with a foreign accent.
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