For those who have not completed Xenoblade Chronicles, this page or section may contain spoilers regarding the plot. Discretion is advised.
New Weapon for Fiora is a Timed Quest in Xenoblade Chronicles. This quest is available when the Central Factory is accessible during the second visit from the Ventilation Conduit by Junks while it is docked there, after the events at the Meyneth Shrine. It can be received from the westernmost Machina staff on the Junks. Upon talking to the Junks staff, the Weapon Material will be received. If Fiora is in the active party, she will comment.
"You made a weapon for Fiora."