Light pressure in right side of chest, been on n off since Friday, fine over night. Indigestion (burping) and a slight cough altho not frequent?

Right side chest. Possibilities include some esophageal dysfunction,bronchial or lung pathology or even tension of muscles in the rib cage. If symptoms persist your physician will take a thorough history, examine you with special attention to the rib cage and lungs. Appropriate tests will be ordered and possibly a referral to a gastroenterologist will be made.