According to Pakistani security officials, the suicide bomber sitting on donkey cart with two other people entered from Afghanistan and detonated his explosives when Frontier Corps soldiers approached him.
The bomber's head and body parts were later found at the site of the attack at Chaman border crossing.
Balochistan government spokesman Jan Buledi said border forces had confirmed it was a suicide bombing.
"One Frontier Corps solider was killed in the bomb attack," he said.
Maj Gen Ejaz Shahid, regional chief of the Frontier Corps, tweeted that seven injured soldiers were taken to Quetta. He added that four were in serious condition.
Chaman is a small town in southwestern Balochistan province and is one of two main crossing points for supplies for American and NATO troops fighting in neighbouring Afghanistan.
In July, four persons were killed and 10 others injured in a suicide blast near the crossing.
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