Port Talbot's first game in Europe in their 109-year history ended in a 3-1 defeat at Finnish side TPS Turku's Veritas Stadion.
The visitors trailed 3-0 at the break as Riku Ruski scored either side of Babatunde Wusu's strike.
But the Welsh Premier Cup finalists came out on top in the second half of the Uefa Europa League first qualifying round, first leg.
Port Talbot's Martin Rose hit the back of the net in the 70th minute.
The rematch takes place at Victoria Road on Thursday, 8 July.
TPS Turku: Henrik Moisander, Igor Jovanovic, Jaakko Nyberg, Sami Rahmonen, Mikko Manninen, Riku Riski (Jani Virtanen 75'), Mika Aaritalo (Roope Riski 78'), Toni Kolehmainen, Jonatan Johansson, Christopher Cleaver, Babatunde Wusu. Unused subs: Jani Kristian Tuomala, Mikael Liespuu, Ville Rannikko, Jesse Saarinen, Santeri Mäkinen.
Yellow card: Sami Rahmonen 88'
Port Talbot Town: Lee Kendall, Leigh De Vulgt (Nicky Holland 46'), Lloyd Grist, Karl Lewis, Matthew Rees, Lee Surman, Martin Rose (Luke Bowen 87'), Liam McCreesh, Scott Barrow, Lee John (Drew Fahiya 87'), Gareth Phillips. Unused subs: David Burnett, Danny Thomas, Nicky Palmer, David Brooks
Yellow cards: Gareth Phillips 21', Lee Surman 84', Karl Lewis 90'
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