Ultra-hard constructions (40) comprise a sintered diamond-bonded body (42) having a matrix of bonded-together diamond grains and a plurality of interstitial regions substantially free of a catalyst material. A metal material (56) comprising a carbide constituent is disposed on a substrate interface surface (54) of the diamond body (42). A substrate (44) is attached to the diamond-bonded body (42) through a braze joint (46). The braze joint (46) is formed from a non-active braze material that reacts with the substrate and metal material. The braze joint is formed at the melting temperature of the non-active braze material in the absence of high-pressure conditions. In an example embodiment, the non-active braze material reacts with the carbide constituent in the metal material. Example materials useful for forming the non-active braze material include those selected from Cu, Ni, Mn, Au, Pd, and combinations and alloys thereof.