  Recent results of Hindman, Leader and Strauss and of Fern\'andez-Bret\'on and
Rinot showed that natural versions of Hindman's Theorem fail {\em for all}
uncontable cardinals. On the other hand, Komj\'ath proved a result in the
positive direction, showing that {\em there are} arbitrarily large abelian
groups satisfying {\em some} Hindman-type property. In this note we show how a
family of natural Hindman-type theorems for uncountable cardinals can be
obtained by adapting some recent results of the author from their original
countable setting. We also show how lower bounds for {\em some} of the variants
considered can be obtained.
