Embodiments of the invention relate to methods of fabricating polycrystalline diamond (“PCD”) exhibiting enhanced diamond-to-diamond bonding by carbon pumping, and PCD and polycrystalline diamond compacts formed by such methods. In an embodiment of a method of fabricating PCD, a plurality of diamond crystals and a metal-solvent catalyst may be provided. The diamond crystals and metal-solvent catalyst may be subjected to a first pressure-temperature condition during which carbon is dissolved in the metal-solvent catalyst. After subjecting the diamond crystals and metal-solvent catalyst to the first pressure-temperature condition, the diamond crystals and metal-solvent catalyst may be subjected to a second pressure-temperature condition at which diamond is stable. After subjecting the diamond crystals and the metal-solvent catalyst to the second pressure-temperature condition, the diamond crystals and metal-solvent catalyst may be subjected to a third pressure-temperature condition during which carbon is dissolved in the metal-solvent catalyst.