As reported by the BBC, former United States men's national team coach Bob Bradley had a talk with Swansea City chairman Huw Jenkins.
Bradley joins former Manchester United winger Ryan Giggs in being linked with the Swansea managerial role.
Bradley met Jenkins at Bristol Airport but it is understood no decision has yet been made to replace Guidolin.
Swansea (which is owned by Americans) is currently in 16th place in the Premier League, which is below expectations. Current manager Francesco Guidolin is on the hot seat as his team hasn't won a match since the first day of the season.
Former Manchester United winger and assistant coach Ryan Giggs has also been connected to the Swansea gig.
Bradley would be the first American manager in the English Premier League (or any top league). Currently, he's with Ligue 2 club Le Havre. Last season, Le club doyen came within a single goal of promotion.
Previously, Bradley coached in MLS (Chicago Fire, MetroStars, Chivas USA) and Norway (Stabæk). He led the USMNT to a second place finish at the 2009 Confederations Cup and the knockout rounds of the 2010 World Cup. The 58-year old New Jersey-native earned world renown for managing the Egypt national team, coming very close to qualifying for the 2014 World Cup.