A cold plate structure, wherein a thermally active region includes fins metal injection molded in a single piece with a fin base sufficiently thin so that the active region mechanically conforms to the heat generating device that the cold plate cools. The fin base is formed as a common structure with a bottom wall of the cold plate, reducing thermal resistance between the device and the fins and also enhancing mechanical flexibility. Another cold plate structure can include multiple thermally active regions, with flexible outer walls and a reduced thickness between active regions, allowing for position variation between multiple heat generation devices that are cooled by the common cold plate. A common base having multiple physically separate active regions can be metal injection molded in a single step, or bases of multiple active regions can be formed individually and joined later to form a common single cold plate structure.