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This is the first of a series of three papers on clustered star formation inthe Rosette Molecular Complex. Here we investigate star formation in theinterfacing layers between the expanding Rosette Nebula and its surroundingcloud, based on an analysis of the spatially complete and unbiased 2MASS data.Two medium-mass infrared clusters with ages of around 1 Myr are identified inthe south and south-east arcs of the fragmented shell. The majority of thecandidate cluster members in these radiation and pressure-confined regions arefound to be almost uniformly distributed, roughly following the compressionlayers traced by the distribution of optical depth at 100 $\mu$m, and may welldevelop into gravitationally unbound systems upon their emergence from theparental cloud. These expanding shells are believed to be playing importantroles in impeding the emerging young open cluster NGC 2244 from intrudingimmediately and deeply into the ambient molecular cloud, where sequentialformation of massive clusters is taking place.Comment: 6 figure

Multi-seeded multi-mode formation of embedded clusters in the RMC: Clusters formed in swept-up shells