Dimitri Payet scored a wonder goal to help the Hammers get back into the game, but they still had to settle for a 1-1 draw with Middlesbrough.
The players came together last week to address the situation and the point ended a barren spell of four consecutive defeats.
Reid has no doubts that the players can pull themselves away from the foot of the table and says they will continue to train hard over the international break as they prepare for another big London derby against Crystal Palace on 15 October.
Reid said: “We had a meeting and everyone looked each other in the eye and said we have go to get ourselves out of this and it is not going to be easy, but we have to dig deep.
“You need occasions like that. We had new players come into the dressing room and we needed to have a chat.
“It is only us the players on the pitch who can do anything about it but we did our best and got a point.
“We would like to get back out there again but once everyone gets back from international duty we will re-group again and make sure we improve.
“We are not having that much luck at the moment. We are having chances the but the ball is not falling our way.
“The main thing is we didn't lose this game. We had been training hard all week and performance wise it was much better than previously.”
With the next two games against Crystal Palace and Sunderland, Reid sees no reason why the Hammers cannot get more points on the board and turn their season around.
Reid added: “We have got a couple of games coming up where hopefully we can get a win and I think the guys just need a bit of luck.
“It is something we are working hard for and as long as we keep working hard, I'm sure the victory will come.”