The team also announced that defenseman Brett Pesce was placed on injured reserve with a lower-body injury.
Di Giuseppe, 22, is returning to the Hurricanes for his third call-up this season.
He currently holds three goals and five assists (8 points) to his credit in 18 NHL games played this season
Di Giuseppe also has eight goals and 10 assists (18 points) in 25 AHL games this season.
Murphy, 22, last skated for the Hurricanes on Dec. 3, and has earned four assists in 18 NHL games this season.
He has scored five goals and earned 11 assists (16 points) in 22 games with the Checkers this season to rank third in scoring among club defensemen.
Murphy has scored six goals and earned 23 assists (29 points) in 107 NHL games with Carolina since being drafted in the first round (12th overall) of the 2011 NHL Entry Draft.