Hyginus, Fabulae 127 "Telegonus", recounts the details of Telegonus' parentage and mentions his connections to the settlement of Italy.
Hyginus Fabulae, 127

     Telegonus Vlyssis et Circes filius missus a matre ut genitorem quaereret, tempestate in Ithacam est delatus, ibique fame coactus agros depopulari coepit; cum quo Vlysses et Telemachus ignari arma contulerunt. (2) Vlysses a Telegono filio est interfectus, quod ei responsum fuerat ut a filio caueret mortem. quem postquam cognouit qui esset, iussu Mineruae cum Telemacho et Penelope in patriam redierunt, in insulam Aeaeam; ad Circen Vlyssem mortuum deportarunt ibique sepulturae tradiderunt. (3) eiusdem Mineruae monitu Telegonus Penelopen, Telemachus Circen duxerunt uxores. Circe et Telemacho natus est Latinus, qui ex suo nomine Latinae linguae nomen imposuit; ex Penelope et Telegono natus est Italus, qui Italiam ex suo nomine denominauit.


     127, Telegonus
Telegonus, the son of Ulysses and Circe, was sent by his mother to find his father. He was carried by a storm to Ithaca and there, driven by hunger, began to steal from the fields. Ulysses and Telemachus, not knowing his identity, took up weapons against him. Ulysses was killed by his son Telegonus, for an oracle had revealed to him that he should guard against death inflicted by his son. After he knew who he was, by command of Minerva he returned with Telemachus and Penelope to his homeland, i.e. the island of Aeaea. They transported the body of Ulysses to Circe and gave it to her for burial there. And under the direction of the same Minerva Telegonus married Penelope and Telemachus married Circe. To Circe and Telemachus was born Latinus, who gave his name to the Latin language; to Penelope and Telemachus was born Italus, who gave his name to Italy.
     — translation RTMacfarlane