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Welling were beaten by a goal in either half against play-off chasing Alfreton in the Skrill Premier on Saturday
Two goals from Joe Healy saw Welling bounce back from their midweek humiliation with victory over Woking on Saturday.
Welling defender Fraser Franks has left the club to return to full-time football.
Dismal Welling became the first team to lose to Hyde in the Skrill Premier on Tuesday night.
Welling had centre-back Blaine Hudson sent-off as they lost at Aldershot in Skrill Premier on Saturday.
Dartford boss Tony Burman admitted it was a massive blow to lose a 10th league game in a row on Boxing Day
See the best of the action from the Boxing Day derby between Dartford and Welling
Welling boss Jamie Day felt his team were always going to win at Dartford - once they got back on level terms on Boxing Day
Dartford’s losing streak in Skrill Premier extended to 10 games on Boxing Day after a derby turnaround against rivals Welling.
Kurtis Guthrie scored his first goal in 24 games on Saturday but could not inspire Welling to three points in Skrill Premier.
Eight minutes of madness ended Welling's FA Cup hopes at League 2 Plymouth on Saturday.
Welling were knocked out of the FA Trophy at the first round stage by fellow Skrill Premier side Braintree on Saturday.
Spirited Welling were unfortunate to lose at title hopefuls Luton in the Skrill Premier on Saturday.
Welling suffered their second home defeat of the campaign after conceding a last-gasp winner to Nuneaton on Saturday.
Welling were left to rue missed chances after a goalless draw at Barnet on Tuesday night.
Keeper Lee Butcher produced a string of excellent second-half saves as Welling reached the second round of the FA Cup for the first time since 1989.
Jake Gallagher's first goal of the season maintained Welling's impressive home form on Saturday.
Lee Clarke's second-half header sent Welling into the first round of the FA Cup on Saturday.
Gillingham have appointed Peter Taylor as their new manager, on an interim basis.
Welling bagged three points at home to Tamworth on Saturday to move into the top six.
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