Yes, both of these species are trailing perennials that will root in moist soil. If there is not already enough rooted segments in the pots, you can also start more plants from cuttings.
Moneywort (Lysimachia nummularia), in the Primrose Family (Primulaceae), native to Europe, Anatolia, and western Siberia.
Also known as Creeping Jenny or Creeping Charlie.
Trailing Mazus (Mazus miquelii, formerly Mazus reptans), in the family Mazaceae (formerly included within Phrymaceae), native to China, Japan, Korea, and Taiwan.