The summation of the partial wave series for Coulomb scattering amplitude, fC(θ) is usually avoided because the series is oscillatorily and divergent. Instead, fC(θ) is generally obtained by solving the Schrödinger equation in parabolic cylindrical coordinates which is not a general method. Here, we show that a reconstructed series, (1- cos θ)2fC(θ), is both convergent and analytically summable.