Goffin, who had not beaten Kyrgios in three previous matches, returned well and played astute tennis to counter his opponent's big shots on the indoor clay of the Palais 12, extending his excellent Davis Cup record to 15 wins from 16 singles matches.
A highly anticipared contest between Belgium's David Goffin and Nick Kyrgios could become the climax of Sunday's reverse singles in the Belgian capital.
Set to play John Millman until a late switch by Australian coach Lleyton Hewitt, Darcis still faced a fierce challenge from Thompson, world number 70, in the second set.
Australia took a 2-1 lead against Belgium on Saturday after easily winning their Davis Cup semi-final doubles in three sets.
France also moved to the verge of the final with another dominant doubles display from Pierre-Hugues Herbert and Nicolas Mahut in Lille.
Mahut and Herbert are an experienced doubles pairing who won the 2015 US Open and 2016 Wimbledon titles together.
We won't be playing an exhibition match this weekend."Serbia won their sole Davis Cup title in 2010, beating France in Belgrade 3-2".
"Well a 2-1 lead in the tie is obviously a good situation for us", said France captain Yannick Noah.
Lajovic had stunned Lucas Pouille in the opening match of the last-four clash on Friday and he eased to the opening set, only for Tsonga to find his rhythm and eventually cruise to a 2-6, 6-2, 7-6 (7/5), 6-2 win.
A similar note of caution was sounded by Noah ahead of the tie being held on the same clay where France lost the 2014 final to Roger Federer's Switzerland."We are sufficiently intelligent to know that it's going to be a hard match", the 1983 French Open victor said. The 4th set was very similar to what we saw in the second, Tsonga was untouchable in his service games and Dusan couldn't handle that pressure and earn another tie break, dropping serve twice to end on the losing side.
Tsonga saved 2 break points in the 9th game and he got an early mini-break to take the tie break by 7-5, moving his country just a set away from the final.