For a club going to take part in the CAF Confederation Cup next season, Chiefs might need the experience of 31-year-old Tau.
His signing would make financial sense since he is a free agent, the way Amakhosi got Thabiso Monyane, Paseka Mako and Ethan Chislett.
However, Tau's competitive level has decreased and that could be the only worry.
On Shalulile, Amakhosi could be closely monitoring his Sundowns contract situation as his contract expired on June 30.
But the Brazilians might have exercised the option of extending it by two years since they went with him to the 2025 FIFA Club World Cup.