Polyvinylacetate (from glue) is specified to dissolve in esters, ketones and chlorinated hydrocarbons. Also, methanol, ethanol and white-spirit are known to dissolve it.
Poly(vinyl acetate)- PVA- dissolves in toluene & in methanol. PVA can dissolve in hot water (~90 oC) provided you stir the polymer vigorously & continuously for ~ one hour.
Of course, dissolving a polymer (until it forms clear viscous solution) needs time & patience from the researcher. Some polymers may need one day or more to dissolve in a solvent: the polymer will swell first & then the large entangled molecules will separate from each other allowing the small solvent molecules to surround them.
You may check also the following related RG discussions: https://www.researchgate.net/post/How_can_I_prepare_a_10_solution_of_poly_vinyl_alcohol_without_or_minimal_use_of_water https://www.researchgate.net/post/What_is_a_suitable_organic_solvent_to_solubilize_the_polymers_PVP_PVA_and_HPMC https://www.researchgate.net/post/Which_is_best_solvent_for_PVA_polymer