Boro are next to bottom and facing the strong likelihood of relegation and an immediate return to the Championship.
Burnley, who were promoted with Middlesbrough last season, are 12th and should be safe from the fear of the drop but they have been unable to win a single away game all season.
What the two teams share was all too evident on Saturday - a lack of sharpness, creativity and flair in the final third of the field.
The closest Burnley came to a breakthrough was two freekicks from winger Robbie Brady -- one which clipped the bar and the other which whistled just over.
There was not a single chance created for their leading striker Andre Gray while his partner Ashley Barnes rarely threatened.
The Clarets are solid, well-organised, extremely hard-working and well-drilled by their impressive manager Sean Dyche and at home they have found a way to grind out wins.
Yet on the road, where chances are rarer and moments of inspiration are needed to open up home defences, Burnley have been unable to turn their effort into three points.
"I thought we were very resolute throughout to be honest and perhaps the one gripe I have of my side is that we get in some fantastic positions and lack that one moment of quality," said Dyche.
"We had three or four unbelievable situations today, but certainly in the end there was no lack of effort and we put our bodies on the line when it got tough."
Read the full article on eurosport.co.uk: Boro and Burnley paying price for lack of edge