U.S. spending is estimated at $50 million to $75 million.
P&G completed its acquisition of Clairol late last year.
Ericsson Fina sibling, Grey Advertising, is agency of record for P&G's leading global hair-care brand, Pantene.
P&G is keeping other Clairol brands at their current agencies. Bcom3 Group's Kaplan Thaler Group, New York, which under former Clairol owner Bristol-Myers Squibb Co. handled Herbal Essences, Daily Defense, Aussie and Infusium 23, now joins siblings D'Arcy Masius Benton & Bowles and Leo Burnett on P&G's roster. The hair-care account has combined U.S. media spending of more than $80 million.
P&G completed its acquisition of the $1.6 billion Clairol business Nov. 16 for $5 billion and has pledged to increase marketing spending behind the brands.
P&G shops are compensated on a percentage of brand sales rather than on media spending.
Jack Neff contributed to this report.