I will give an introduction to GAMBIT, the Global and Modular Beyond-the-Standard Model (BSM) Inference Tool, focussing on the BSM
science programme currently being pursued with it.  This includes indirect searches for dark matter annihilation and decay with gamma-rays and neutrinos, direct searches with a range of underground experiments, cosmological constraints, associated searches for new particles at the LHC and in flavour experiments, and precision tests of the Standard Model.  I will present the latest combined constraints on various supersymmetric and Higgs-portal dark matter candidates, and briefly discuss extensions on the near horizon.