In this paper, we focus on the general relay channel.

We investigate the application of the estimate-and-forward (EAF)

relaying scheme to different scenarios. Specifically, we study

assignments of the auxiliary random variable that always satisfy

the feasibility constraints. We then consider the Gaussian relay

channel with coded modulation, where we show that a three-level

quantization outperforms the Gaussian quantization commonly

used to evaluate the achievable EAF rates in this scenario. Last,

we consider the cooperative general broadcast scenario with

a multistep conference between the receivers. We first apply

EAF to obtain a general achievable rate region with a multistep

conference. We then use an explicit assignment for the auxiliary

random variables to obtain an explicit rate expression for the

single common message case with a two-step conference.