Build a BREP from array of Vertices

I once used BRepFill_Filling for a similar problem, but this does only work for simple structures. If the structure is to complex, an exception is thrown.

Some sample code:
BRepFill_Filling makeFilling(2);
for (size_t i = 1; i <= nLastEdgePoint; ++i)
{
BRepBuilderAPI_MakeEdge makeEdge(m_vecEdgePoints[i - 1],
m_vecEdgePoints[i]);
makeFilling.Add(makeEdge.Edge(), GeomAbs_C0);
}

for (size_t i = 0; i < m_vecFacePoints.size(); ++i)
{
makeFilling.Add(m_vecFacePoints[i]);
}

makeFilling.Build();
face = makeFilling.Face();

You could build TopoDS_Faces of each of your triangles, then sew them together using ShellFix_Sewing.

This should not have limitations to the structures creatabel by it other than your patience to wait and memory available.