Bulloch admits Scottish pride has been wounded by the 36-6 home defeat defeat Ireland and the 38-3 loss in Paris, but insists small changes could have a dramatic effect on the team's fortunes.
"I would be really disheartened if we weren't crossing the gainline and making chances, but we are and we can take heart from that," said the Glasgow front rower.
"We should have scored tries against Ireland last week and we also worked our way into good positions yesterday, but we weren't able to finish them."
Next up for Scotland are Wales who have also failed to register a victory in the 2003 RBS 6 Nations, making their clash at Murrayfield crucial for both sides.
Bulloch knows what is required from his side as they look to rediscover some of the form shown during the Autumn internationals when they went unbeaten, accounting for South Africa in record fashion along the way.
"The boys are very down - we put a lot of hard work into preparing for the France game and we haven't got much out of it," he said.
"But they were two tough games against very good sides. We've now got to resurrect our season. We have Italy and Wales at home and we have to take points from those two matches in order to build-up our confidence."