Tuilaepa is one of 15 archers in Team Samoa.
According to a report on Inside the Games, Tuilaepa scored 163 points including one bullseye at the end of the first round.
Tuilaepa is a Pacific Games bronze medalist in 2007.
Cecile Reuillard of New Caledonia leads the women's compound with 332 points, from Fiji's Lisa Noreen Leota on 304.
Two Australian women top the women's recurve standings, Alice Ingley on 309 from Deonne Bridger on 301.
Australian, Astin Darcy, tops the men's recurve after round one with 326 points, just four ahead of fellow countryman Alec Potts.
Currently leading the men's compound is Laurent Clerte of New Caledonia, who has 342 points including 21 bullseyes.
Representatives from 10 Pacific island countries are competing in archery at the Archery Venue at Tuanaimato Tuesday.
The mixed category will take place on Wednesday followed by the individual category on Thursday.
A total of 10 medals are up for grabs across three divisions: Men's, Women’s, and Mixed.
Photo by Savali News Caption: Samoa PM Tuilaepa Sailele Malielegaoi (2nd from left) competes at the 2019 Pacific Games