A resilient coform nonwoven web that contains a matrix of meltblown fibers and an absorbent material is provided. The meltblown fibers may constitute from 45 wt % to about 99 wt % of the web and the absorbent material may constitute from about 1 wt % to about 55 wt % of the web. The meltblown fibers may be formed from a thermoplastic composition that contains at least one propylene/α-olefin copolymer having a propylene content of from about 60 mole % to about 99.5 mole % and an α-olefin content of from about 0.5 mole % to about 40 mole %. The copolymer may have a density of from about 0.86 to about 0.90 grams per cubic centimeter and the thermoplastic composition may have a melt flow rate of from about 200 to about 6000 grams per 10 minutes, determined at 230° C. in accordance with ASTM Test Method D1238-E. The coform web may be imparted with a three-dimensional texture by, for example, using a three-dimensional forming surface. As one example, the resilient coform web is suitable for use as a component in the absorbent core of a personal care absorbent product.