The baryon asymmetry of the universe naturally leads to BSM Higgs sectors. Such models contain additional Higgs bosons w.r.t. the SM Higgs boson, leading to a Higgs potential substantially more complicated than in the SM. The measurement of triple Higgs couplings (THCs) is key to determine the shape of the multi-dimensional potential, which are best accessed via di-Higgs production. So far most investigations focused on the THC of the SM-like Higgs boson discovered at the LHC in 2012. We go beyond these analyses and show how BSM THCs may be determined at current and future colliders, including the HL-LHC, future linear e+e- colliders and a future muon collider.