The word ‘deli’ means a delicatessen shop and can have both conscious and subconscious meanings. A recent meaning of the word, especially in dreams, is to search for nourishment or knowledge because one is not eating adequately or seeking information.
We often dream about food because we are hungry. When dreams are replete with gratifying, delicious food, it is often a result of emotional feelings that only the imagination can fulfill.
However, deli meat, bread, or anything alluding to sandwiches may stem from your struggle to connect with others. The dependency on food as a means of emotional fulfilment could also be construed as your need for sustenance in other areas of your life such as emotional nourishment or faith in one’s beliefs and yearnings.