The quantum technologies that are coming to fruition are narrow, isolated niches separated by vast domains of technologies still ruled by classical physics. The formidable challenge of creating a broad quantum-technological base calls for bridging and integrating these niches. In this spirit, we wish to capitalize on the remarkable analogies that have recently emerged between two previously unrelated classes of quantum systems with potentially fascinating applications: ultracold-atom (UCA) degenerate gases and solid-state superconductors (SC). These analogies stem from the notion of macroscopic quantum-coherent transport known as supercurrent, common to both fields. Building on this, we are convinced that our understanding of fundamental and applied aspects of macroscopic quantum coherence/supercurrents in UCA- and SC-based devices will greatly benefit from active cooperation between leading teams in the two fields. From both fundamental and applied perspectives, the project may lead to several breakthroughs: 1) noise control, allowing high-fidelity quantum operations; 2) entanglement of collective variables, which are prerequisites for high-precision metrology, weak-signal sensing and teleportation near their ultimate quantum limits; 3) exploration of the feasibility of interfacing UCA and SC quantum storage/readout systems, so as to attempt closing the classical gap separating these two quantum technologies.