Daggers manager John Still was left frustrated after his side's 100% away record was brought to an end by a late Sam Winnall goal at Edgar Street on Saturday.
Bullssubstitute Winnall fired into the bottom right hand corner of the net from 20 yards with just five minutes remaining to send the Daggers home empty handed from their trip to Herefordshire.
'Yes it is frustrating,' said Still after the match. 'I thought for the away team we deserved something, although it was a game of maybe only two or three efforts on goal.'
'I need more from my front four. We need the wide men to deliver the ball better. Damian Scannell has come in earlier than we would have liked so perhaps he can be excused, but we needed more from Danny Green today. The front two worked hard but did not create enough problems in their box.'
'Our crossing was poor. If we can get the delivery right we will be more potent. I was more than happy with what we did today, it's just in their box that we've got to do better,' he concluded.
With captain Mark Arber nursing a back injury and Jon Nurse away on international duty with Barbados, the starting XI showed two changes from the 1-1 draw with Torquay last week - Phil Walsh replacing his skipper in the centre of defence with Scannell coming in on the right hand side of midfield.
Having won their opening two away games 1-0, the Daggers faced a Hereford side still looking for their first win of the season and with only one goal to their credit so far, so a high scoring encounter was never really on the cards.
Indeed there was very little to choose between the sides in a first half of precious few chances. Luke Howell twice went close for the Daggers in the opening five minutes, seeing his initial effort blocked before then firing the loose ball wide of the far post.
Meanwhile at the other end goalkeeper Chris Lewington did well to deny Kenny Lunt before Simon Clist saw an effort deflected onto the top of the crossbar after linking well with Yoann Arquin.
The Daggers started the second half brightly, with Ollie Lee firing just wide within two minutes of the resumption, but Still was forced into an early change when Howell limped off in the 51st minute to be replaced by the fit-again Peter Gain.
However the second period followed a similar pattern to the first, with neither side able to grab the initiative. The Daggers enjoyed some good periods of pressure and forced a succession of corners but they created very little and it was the introduction of Bulls substitute Winnall twenty minutes from time that ultimately proved decisive.
There were just five minutes left on the clock when the Daggers defence backed off, allowing Winnall to arrow a low shot beyond the reach of Lewington into the bottom right hand corner of the net from just outside the area.
With so little time remaining the Daggers were unable to respond, but despite this second league defeat of the season Still's men remain just three points off the top of the table.
Attendance; 1,885 (124 away)