Giggs, who played for Wales 64 times, has made no secret of his desire to succeed Chris Coleman as national team coach, which he described past year as his ideal job.
Giggs, a former captain of his country, told Sky Sports last month that Wales was one of the jobs which could tempt him back into football.
Wales have previously placed their trust in upcoming managers Mark Hughes and Gary Speed, who were 36 and 41 respectively when they were appointed, and now providing the interview went well the 44-year-old Giggs should be installed at the helm in time for Wales' next game against China in March.More news: City services, facilities affected by Martin Luther King Jr. Day
Giggs already has some experience guiding teams in the past, with 4 interim matches managed for Wales, and as an assistant manager under Louis van Gaal.
Having been interested in the Swansea job, it eventually fizzled out into nothing but it seems as though Wales are seriously considering Giggs as their man.
Coleman took Wales to the semi-finals of Euro 2016 but stepped down last November after they failed to qualify for this year's World Cup Finals in Russian Federation.More news: Southern California mudflows triggered by fire and rain, with more possible
However, Wales will be absent from the World Cup in Russian Federation this summer, their bid for qualification having fallen just short when they lost 1-0 at home to the Republic of Ireland last October.More news: U.S. settles near 3-year highs despite United States inventory rise