An RF-weldable thermoplastic elastomer composition, including a thermoplastic elastomer of non-RF-weldable or poorly RF-weldable character, e.g., a styrenic copolymer/olefinic polymer blend thermoplastic elastomer, and polyol in an amount that is less than 1% by weight, based on weight of the thermoplastic elastomer, and is effective to enhance RF-weldability of the thermoplastic elastomer. The composition may also contain an antistatic ionomer, in an amount that is less than 15% by weight, based on weight of the thermoplastic elastomer. Films of such composition are usefully employed to form RF-welded film articles, such as blood bags, IV fluid bags, glucose bags, urine bags, stool bags, biological sample bags, pouches, covers, and liners.