Hullbridge Sports, Great Wakering Rovers and White Ensign all made their way into the second round of the competition.
But the three teams in the Essex Senior League are still keen to continue the race.
Hullbridge head to Saffron Walden Town, with attacking midfielder John Evans set to qualify.
“The vase for us this season is very important,” Evans said.
He added: “We see it as a realistic competition in which we can go far.
“We had a really good run in the FA Cup and hopefully we can have another good run in the Vase now.
He added: “We believe as a team that we have the talent to go far and we will do everything in our power to make the Wembley dream possible.”
But Evans is taking nothing for granted against Saffron Walden.
“This weekend will be another tough away game against a team just behind us in the league,” Evans said.
“Our second game of the season saw us lose 2-1 at home to Saffron Walden, but hopefully we can go where they are and be in the hat in the next round.
“I expect them to be a well-organized team, but we will focus on ourselves and the threats we will face.”
Great Wakering have a home draw against Downham Town.
Rovers striker Callum Boylan also has high hopes for the competition.
“The vase is very important to Wickering and we take it very seriously because we believe we can move forward,” Boylan said.
“We have a great group of players here and we are all very confident going into this weekend’s game.
“We expect another tough match but we are all full of confidence and hope that being at home will give us the advantage to win the match and qualify for the next round.”
White Ensign heads to May and Baker for their second round match on Sunday.
Defender Callum Ferris expects to experience stardom despite Ensign being at a higher level than his host.
“It won’t be an easy game on Sunday,” Ferris warned.
“We are a Step 5 team, so obviously they will be ready for the home game and will want to cause an upset.
He added: “But if we start strong and show the quality in the team, I strongly believe that we will win the match.”
“Hopefully we can get to the next round and continue to prove people wrong.”
Ferris is also keen to progress as far as possible in the FA Vase.
“The banner vase is very important,” Ferris said.
“Not only does it give the club some recognition, it helps hugely in giving us, as a small club, the opportunity to play at the most famous stadium in the country, so it’s good competition.”
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