The phrase "hot press" implies something that is either heated or pressured, or both. Its antonyms, therefore, would be words that indicate a lack of heat or pressure. These could include words like "cool press," "cold press," "gentle press," or "light press." In terms of meaning, these antonyms could refer to a variety of contexts. For example, a "cool press" could refer to a printing technique that does not require heat, while a "gentle press" could refer to a massage or therapy technique that uses minimal pressure. Regardless of context, however, the antonyms for "hot press" all suggest a reduction in intensity, heat, or pressure.