Outcome of the source extraction procedure performed with CuTEx on selected ALMAGAL clumps (from left to right, fields AG316.4045- 0.4657, AG012.4977-0.2233, AG013.2428-0.0854). As in Fig. 5, the blue ellipses mark the compact sources detected at 5 σ_rms. The three clumps showcase the variety of fragmentation degree, morphologies of structures and patterns of emission revealed across the ALMAGAL sample. The CuTEx algorithm was optimized and tested in order to efficiently perform in all these different conditions. The green ellipses mark the sources that are recovered by allowing a signal-to-noise ratio (S/N) cut of 3 σ_rms. The map beam is reported in red in the bottom-left corner of each panel.