Can't find anything in Wallasey, but if you phone Bebington Bridge Club they may be able to help.
Bebington Bridge Club
Bebington Civic Centre, Civic Way, Bebington CH63 7PN
Tel: 0151 334 9718
Be warned; bridge is an addictive game which takes a lot of work to learn how to play well and often involves heated arguments between partners. Don't play it with your spouse.