On his blog, Father Paul Turner responds to a question about adoration of the Blessed Sacrament during the Easter season: should the Paschal Candle be lit? Sit in the purple chair and render judgment. Is this Candle only for Mass? If you light it outside of Mass, when might that occur?
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Catholic Sensibility 
And from the 1988 circular letter Paschalis Sollemnitatis (The Preparation and Celebration of the Paschal Feasts), in relevant part (emphasis added) – it would also seem it could be appropriate to move the Paschal Candle from the ambo area to the altar area where Exposition is:
99. The paschal candle has its proper place either by the ambo *or by the altar* and should be lit *at least* in all the more solemn liturgical celebrations of the season until Pentecost Sunday, whether at Mass, or at Morning and Evening Prayer. After the Easter season the candle should be kept with honor in the baptistry, so that in the celebration of Baptism the candles of the baptized may be lit from them. In the celebration of funerals, the paschal candle should be placed near the coffin to indicate that the death of a Christian is his own Passover.