Neal left Proximity last month after nine years, before which he held other positions at Communique, the International Airline Passengers Association, Beard Hawkins Direct and DDM Advertising.
Gyro is expanding into the consumer marketing arena after becoming the UK's largest business-to-business direct marketing agency in 2004. It has taken on more than 30 new staff since moving to new office space in Chelsea Harbour earlier this year.
Richard Perry, managing director of Gyro International UK, said: "Paul has enormous passion and a wealth of new business experience that will be a tremendous asset to the agency as we continue our rapid expansion."
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