Everything is soluble in everything, the question becomes how soluble? Solubility of carbon dioxide depends on temperature (dry ice is cold), partial pressure of CO2 in the air above, pH, metal impurities etc.
You may want to do some googling or literature searches. Dissolved carbon dioxide is found as carbonic acid/carbonates in water which are not the most soluble compounds but do dissolve to an extent varying with factors such as those stated above.