A brief summary of the theoretical speculations concerning strangelets and metastable multi-hypernuclear objects (MEMOs) as well as a short survey of the experimental results obtained at AGS and SPS in this research field are given. Then we examine the possibility of producing and evidencing such an exotic strange matter, also including pure hyperonic bound states ((ΛΛ)b, (ΞΛ)b), at RHIC and LHC. Simulations are presented to estimate the sensitivity of the STAR and ALICE experiments to the detection of these objects, focusing mainly on the metastable short-lived (weak-decaying) strange dibaryons, with a particular emphasis on the H-dibaryon, a six-quark-bag bound state (uuddss).