The map matching method gets simpler with higher precision positioning systems, but because the positioning framework is still not sufficiently precise or too costly for marginal map matching in practice, it is still a hot research domain. Several researchers have worked on map-matching methods and reported their finding of in-depth studies of domain. This literature review provides extensive information on the above map-matching methods related to digital maps with respect to convergence and outline the problems, information sources, as well as future demands identified by industry/society. It focuses on past research work approaches, implementations, capabilities, and their weaknesses using linear search and citation chaining. Finally, this work concludes with recommendations of the future direction of research and ideas to develop new algorithms for advanced applications.