Techniques are provided for use with an implantable medical device for delivering left atrial (LA) pacing to address Diastolic Heart Failure, also referred to as Heart Failure with Preserved Ejection Fraction. In one example, pulse delivery times are selected for delivery of LA pacing pulses sufficient so that activation of the LA occurs when LA pressure (LAP) is lower than would occur in the absence of LA pacing. The pulse delivery times and also set so that subsequent activation of the right ventricle (RV) occurs when LAP is lower than would occur in the absence of LA pacing. LA pacing then is delivered by the implanted device at the selected pulse delivery times to mitigate Diastolic Heart Failure or to address other conditions.