Co-venturer Magellan said Santos drilled the well to a total depth of 1443m without encountering commercial hydrocarbons in the objective Eromanga Basin sections.
Burundi-1 was the first in a two-well drilling program in the Nockatunga area.
The Maxwell-5 appraisal well on the Maxwell oil field in PL 50 is expected to spud later this week.
Santos is operator and holds a 61.006% in Burundi-1, while Magellan has 38.994%.