The present paper investigates steady eutectic growth with the isotropic surface tension by using the analytical approach. We consider the case that Peclet number c is small and the segregation coefficient kappa is close to the unit, and obtain a family of the global steady state solutions with two free parameters: the Peclet number is an element of and tilt angle phi, which may describe the basic states of both tilted and non-tilted eutectic growth. It is found that due to the singularity or the triple point in the system, there is a thin boundary layer in the vicinity of the triple point, where the curvature and the temperature of interface vary drastically. The quantitative comparisons between the theoretical predictions with recent available experimental data are made with no adjustable parameter. The agreements are very good. (C) 2013 Elsevier B.V. All rights reserved.