The Premier League champions were unseeded for the draw after coming second in their group behind Roma.
The draw is not what Chelsea wanted after Conte conceded that the defence of their Premier League crown was over after this weekend's defeat to West Ham.
The Spanish heavyweights have shrugged off the loss of Neymar this season and came through Group D unbeaten to top the group above Juventus.
They are also coasting in La Liga. After 15 games they are first, five points ahead of second-place Valencia and eight point ahead of bitter rivals Real Madrid.
But he will hope to invoke the memory of their remarkable win over the Catalan giants in 2012, when a late goal from Ramires saw them reach the Champions League final on away goals despite the earlier dismissal of John Terry.
The first legs will be played on 13, 14, 20 and 21 February, with the return legs played on 6, 7, 13 and 14 March 2018.
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