Badshot Lea fell to a 2-0 defeat at home to Guernsey in the Isthmian League South Central Division.
The Baggies fell behind after three minutes when Allen reacted quickest to Charlton Gauvain’s free kick to open the scoring.
The visitors doubled their advantage in the 33rd minute when Fallaize headed home unchallenged from another Gauvain set piece.
The Baggies – who were playing their first match since their relegation from the Isthmian League South Central Division was confirmed – looked for a way back into the game and nearly pulled a goal back in the second half when Josef Philipson’s shot hit the post.
Badshot Lea manager Gavin Smith was disappointed with his side’s display.
“Conceding the early goal was a big blow to take,” said Smith.
“Going behind knocked the stuffing out of us a little bit.
“I’m not criticising the players though as I get it is difficult mentally when you have already been relegated.
“We improved in the second half and had a few chances to get back into the game.
“Luke Jarvie had another decent game and is showing he wants to put part of our plans in the future.”
Next up for the Baggies is a trip to Metropolitan Police in the Isthmian League South Central Division on Saturday (3pm kick-off).
Smith is hoping his side can produce a positive performance as they look to rebuild from this season’s relegation.
“It’s a good pitch at Metropolitan Police so hopefully that will suit us and we can produce a good performance,” said Smith.
“We’ve got four games left this season and we need try to finish the season positively and build some momentum for next season.”