Scott Sinclair netted a second-half equaliser for North End with a fine solo effort after Matej Vydra had given the Clarets a first-half lead.
The Lilywhites resume Championship action against Luton Town at Kenilworth Road next Saturday, the first of nine games in 33 days.
Drawing with Premier League outside Burnley will have been a big boost for Alex Neil's men and a good fitness work out.