Left-back Pieters has recovered after being forced off by a hamstring problem in last weekend's loss at Southampton, while right-back Bardsley returns to contention following compassionate leave.
Newcastle's leading scorer Callum Wilson is available for Sunday's Premier League trip to Burnley after missing seven games with a hamstring tear.
However, the striker's impending return comes as skipper Jamaal Lascelles undergoes scans of a suspected stress fracture of his foot which will keep him out of the trip to Turf Moor.
Fellow defender Federico Fernandez (calf) is fit and striker Andy Carroll (calf) has a chance of making it, but midfielder Ryan Fraser (groin) and Fabian Schar and Isaac Hayden (both knee) are still out.
Burnley provisional squad: Pope, Peacock-Farrell, Lowton, Tarkowski, Mee, Pieters, Bardsley, Taylor, Nartey, Dunne, Driscoll-Glennon, Gudmundsson, Brownhill, McNeil, Westwood, Stephens, Cork, Richardson, Wood, Vydra, Rodriguez.
Newcastle provisional squad: Dubravka, Darlow, Krafth, Manquillo, Lewis, Dummett, Fernandez, Clark, Fernandez, Shelvey, Hendrick, M. Longstaff, S. Longstaff, Murphy, Willock, Ritchie, Anderson, Atsu, Wilson, Joelinton, Almiron, Saint-Maximin, Gayle, Carroll.