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16. Basel

2014-15: Lost to Porto in round of 16 • 2015-16: Didn’t qualify • 2016-17: Group stage

Next opponent: Man City (First leg: Tuesday 13 Feb)

Odds: 400/1

Basel suffered the joint-heaviest knockout-phase defeat – 7-0 to Bayern Munich in 2012 – and now that they face free-scoring Manchester City in the last 16, there’s a small chance that record could come under threat. The 124-year-old, passionately supported lot from St. Jakob-Park nevertheless kept four clean sheets in their group – admittedly a comparatively weak one – and in 20-year-old forward Dimitri Oberlin, boast an intriguing talent.

Believe it or not, Norwich City supporters, but Ricky van Wolfswinkel is also in free-scoring form. Basel can also comfort themselves with the knowledge that they're facing a Manchester City side without David Silva, Leroy Sane and Gabriel Jesus, while John Stones is only just returned from a minor injury. It won't be enough and the Swiss side will likely depart, but reaching this stage still amounts to a great success.

15. Besiktas

2014/15: Didn’t qualify • 2015/16: Didn’t qualify • 2016/17: Group stage

Next opponent: Bayern Munich (First leg: Tuesday 20 Feb)

Odds: 250/1

Besiktas won Group G with 14 points: an impressive feat. But while Istanbul and Champions League miracles have featured in the same fairytale before, there’s not much chance of Pepe, Adriano and Ricardo Quaresma taking winners' medals back to the city.

Besiktas’s bulging club of 30-something foreigners includes the aforementioned trio plus Gary Medel, Atiba Hutchinson, Ryan Babel, Jeremain Lens and Alvaro Negredo. Babel and Brazilian entertainer Talisca have also impressed this season, but the sale of multifaceted German-born Turkey forward Cenk Tosun to Everton is a considerable blow and won't make their tie with five-time winner Bayern Munich any less onerous.

14. Shakhtar Donetsk

2014-15: Lost to Bayern Munich, last 16 • 2015-16: Group stage • 2016-17: Didn’t qualify

Next opponent: Roma (First leg: Wednesday 21 Feb)

Odds: 150/1

Condemning Manchester City – albeit a depleted version – to their first defeat in 29 games, and overcoming the odds to finish six points ahead of third-placed Napoli in Group F will have lifted Shakhtar.

Brazilian duo Taison and Bernard are pests to control on their day, but Facundo Ferreyra – who failed to see a second of Premier League action during a year at Newcastle – is the man entrusted with grabbing their goals. Shakhtar simply must build a lead during their first leg at home – or, as is the case, 200 miles from it in Kharkiv – to have any chance of besting Roma and reaching the quarter-finals for the first time in their history.

13. Porto

2014-15: Lost to Bayern Munich in quarter-finals • 2015-16: Group stage • 2016-17: Lost to Juventus in last 16

Next opponent: Liverpool (First leg: Wednesday 14 Feb)

Odds: 150/1

Only PSG, Liverpool, Real Madrid and Chelsea scored more than Porto in the group stage. Their issue has been keeping goals out, with neither Iker Casillas nor the now-first-choice keeper Jose Sa able to prevent them.

The Manchester United-linked Danilo Pereira and Hector Herrera form a tough central midfield partnership, while winger Yacine Brahimi and striker Vincent Aboubakar – both of whom are having fine seasons – mean they could give Liverpool a fright or two. But their defence will be put to a serious test by the Reds. Philippe Coutinho is gone from Jurgen Klopp's lineup, which is some comfort, but Porto are still badly overmatched.