The two previous replies ask some very relevant questions concerning your basement !
Assuming your source of water has been contained, de-humidifying the interior space is vital to an overall fix. There are any number of coatings including epoxies that will work well to "coat your concrete", however, until you waterproof the concrete matrix, any coating life span will be questionable at best. Moisture in a concrete evaporates to the surface and when it does, alkali inside the concrete comes to the surface with it causing whats commonly called "Alkali Burn". Several other conditions may also occur, however ALL will compromise a coating by collecting at the coating /surface interface. Ever seen a $5.00 sq.ft. epoxy bubble up and have moisture underneath it, or how about a terribly expensive seamless rubber floor system that has to be cut with a razor knife to soak up water collected underneath it?
ASTM 2170 will tell you the relative humidity in a concrete. That should give you an idea of how much moisture is coming to a surface. Any fix to your concrete should only be undertaken after you have waterproofed the concrete. Go to www.StableCrete.com and learn of a very inexpensive, easy to do waterproofing method for your basement. Once you eliminate the free transfer of moisture in and out of what's probably a very porous concrete, you'll then be able to address coatings, glues and mastic applications for the future.
Keep in mind thay heating/cooling an interior space also lowers the humidity, causing moisture to travel out to lesser humid side of a concrete wall. You can feel safe using StableCrete to water proof, as it has "Extremely Low VOC Content [11.67g/L]" and is no problem in a confined space. A treated surface may be coated after 48 hours with no adhesion/bond issues. P.S. your concrete must be completely void of any barrier [old paint] coating and a neutral pH to allow proper a absorption of the material into the concrete. Once applied you have a 15 year Warranty on Water Proofing ! Glenn