Alli will serve the second of his three-match ban after being sent off against Gent in last season's Europa League, whilst Vertonghen is also banned after seeing red in the win against Dortmund earlier this month.
Eriksen meanwhile has not travelled with the rest of the Spurs squad after feeling unwell on Sunday night. The Dane has been a key player for Tottenham so far this season and became the highest-scoring Danish player in Premier League history at the weekend.
Spurs currently sit seocnd in group H after the first round of fixtures, trailing leaders Real Madrid on goal difference. However, with 'Los Blancos' facing a tricky trip to Signal Iduna Park to face Dortmund, Mauricio Pochettino's side could have the chance to seize top spot ahead of their double-header against Real.
If they are to do so they, they may have to make do without midfielder Mousa Dembele, who is a doubt with an ankle injury.
The stats are certainly on Tottenham's side, with Apoel yet to keep a clean sheet at home in the Champions Lague in their history, whilst no Cypriot side has ever beaten English opposition in a European competition.