A Japanese person who goes to apologize in person often brings a kashi-ori, a box of sweets. A Japanese lifestyle guide calls this a custom unique to Japan, and notes the saying that “the weight of the sweets is the weight of the feeling.”
Very expensive sweets are avoided, because they can suggest an attempt to settle the matter with things. Another guide advises keeping the gift out of sight at first and handing it over only after the apology has been accepted.