Answer: "Wandering through the catacombs" is a gerund phrase.
Explanation:<u></u><u>A gerund phrase is a phrase made up of a gerund, that is to say a non-finite form ending in -ing, and its modifiers</u>. A gerund phrase always acts a noun. Moreover, it can play different syntactic functions in a sentence. In "My best friend and I enjoy wandering through the catacombs"<u>, "wandering through the catacombs" is a gerund phrase since it is made up of the gerund "wandering" and the prepositional phrase "through the catacombs", which is modifying the gerund</u>. Furthermore, "wandering through the catacombs" is acting as a noun and is playing the function of direct object since it is the recipient of the transitive verb "enjoy".