According to ICAO Doc. 4444, both terms are acceptable: either "Radar Contact (position)" or "Identified (Position)" (see Doc. 4444, 12.4.1.1).
Further, it defines Radar Contact as "the situation which exists when the radar position of of a particular aircraft is seen and identified on a situation display".
It is also stated that that these phraseologies are to be used when surveillance is being used in the provision of Air Traffic Services, implying that that once an aircraft has been identified (and advised) it is then being provided with a radar service.
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Imperator1300