The National League has been opposed to the use of the electoral college to decide presidential elections since 1970. Among other objections is the fact that four times in our history the electoral college winner received fewer popular votes than the loser, most recently in 2000. However it would require a constitutional amendment, ratified by three-fouths of the states, to change the system. Since smaller states benefit from the electoral college system such an amendment has been considered very unlikely to pass.
In recent years an indirect method for accomplishing the same purpose has been growing in popularity. This is the National Popular Vote Compact (NPV). At the National league Convention in May 2008 delegates voted to adopt a study of the NPV. Here is an article from the National League giving background on the NPV.