Many Meetings is the first chapter of the second book in The Fellowship of the Ring.
Summary — Many Meetings
Frodo awakens several days later in a bed in Rivendell. He is shocked and delighted to see Gandalf sitting nearby. The wizard tells Frodo that Elrond, the Master of Rivendell, healed Frodo’s wound just in time; a splinter of the Black Rider’s knife had stayed in the hobbit’s shoulder and was working its way toward his heart. If it had reached Frodo’s heart, it would have turned him into a wraith, just like the Riders.