The company has had initial meetings with agencies and is expected to hold pitches at the end of January.
Acer, which uses a series of local shops across its markets, is looking for a global agency to oversee its creative output around the world.
Mother has worked with Acer since February 2012. At the time of the agency’s appointment, Acer said that it was doubling marketing spend in an attempt to revitalise its image.
Mother created a global campaign for the Acer Aspire S5 Ultrabook, which launched in August 2012. It featured the actor Kiefer Sutherland taking on the attributes of his Jack Bauer character from TV series 24 as he used the laptop to create his own "dynamite" cupcakes.
The agency also created a three-minute film to promote Acer’s Aspire P3 Ultrabook, which was released in May 2013 and showed the DJ Tiësto getting trapped inside a giant bubble.
Acer, which is based in Taiwan, reported a pre-tax profit of 1.05 billion New Taiwan dollars in the third quarter of 2014, up from a loss of NT$12.63 billion a year earlier. This was despite a 7 per cent decline in revenue to NT$85.7 billion following cost-cutting measures.