Three defeats have left the Dragons stranded in the basement of the group with just one losing bonus point to show for their efforts.
But coach Paul Turner has vowed that his team will "still have a say in the outcome of the Pool" despite suffering that hat-trick of reverses.
The Dragons have tough away games at Munster this weekend and Pool leaders Sale Sharks in Round 4 to come, as well as a home clash with Castres Olympique in Round 6, but Turner claims his side will not be throwing in the towel.
"We are certainly going to be looking forward to visiting Thomond Park on Saturday. It is a great place to play, even if it promises to be a steep learning curve for a lot of the club players who have had to play their part in the tournament because of our injuries.
"We are trying to develop our youngsters and I was delighted with the way everyone stuck at it against Munster.
"Sale's win in Castres was a tremendous performance, even though the game could have gone either way. They did well up front and they nullified the Castres scrum and tied in their All Black props.
"Charlie Hodgson did the right things at the right time and they are really on a high now. I am sure Sale and Munster will be around the top of the group but we still feel we can make a contribution to the final outcome.
"Munster were a bit too street-wise for us in the contact area and we made a lot of basic errors. But I was proud of the way we competed and stuck at it. We have got a small squad and we have been hit by some significant injuries to players like Hal Luscombe, Kevin Morgan, Nathan Brew, Gareth Wyatt and Jason Forster."
The Half a Game initiative is currently sweeping across Wales and proving a major success. The scheme aims to give every young player at least half a game every weekend. WRU TV recently visited a festival in Narberth where clubs have fully embraced the initiative.
Both Bargoed and Swansea were seeking their first win of the Principality Premiership season this afternoon. It proved a fruitful day for the hosts - not only did they win, but Bargoed claimed a try bonus point.
Cardiff managed to keep their unbeaten record at home intact, but only just as Bridgend made them work extremely hard before the Blue and Blacks secured a hard fought Principality Premiership win at the BT Sport Arms Park last night.
Former Wales back row Andy Powell gives a guided tour of The Wern, home of Merthyr RFC, who are determined to prove a lot of people wrong and make their mark in their first season in the Principality Premiership.
Wales Sevens head coach Gareth Williams looks back on the Rio Sevens success where he helped GB win silver. He believes the successful campaign is a huge boost to his Welsh squad as they prepare for another World Series, as WRU TV's Graeme Gillespie discovers
British and Irish Lions head coach Warren Gatland will be heading back home to take on the All Blacks next year where for him, success for 2017 is all about going to New Zealand and winning a Test Series.
Last week all roads led to Eugene Cross Park where defending champions Ebbw Vale hosted this season's launch of the Principality Premiership. WRU TV's Graeme Gillespie was there to capture the thoughts of Damien Hudd, captain of Ebbw Vale, and WRU Head of Performance, Geraint John.
Llandovery made it three in a row when they defeated Aberavon in the final of the National Foster's 7s at BT Sport Cardiff Arms Park on Sunday. On another eventful day of sevens, Newport claimed the Plate and the Dragons won the women's crown
Last week saw Cardiff welcome players from around the world for the 21st Golden Oldies Festival. The tournament features players over 35 years of age, and this year's event saw a select few represent the WRU in a 'friendly' against the Wooden Spoon.
Wales Under 18 captain Callum Bradbury is delighted to have seen his side claim a narrow 18-17 victory against a strong SA Schools 'A' side to end the three-match Under 19 International Series in South Africa on a high note.