Maybe the old global cooling called "snowball Earth" may interst you?
Allen, Philip A.; Etienne, James L. (2008). "Sedimentary challenge to Snowball Earth". Nature Geoscience 1 (12): 817–825.
Hoffman, P. F.; Kaufman, A. J.; Halverson, G. P.; Schrag, D. P. (1998). "A Neoproterozoic Snowball Earth". Science 281 (5381): 1342–1346.
Ashkenazy, Y.; Gildor, H.; Losch, M.; MacDonald, F. A.; Schrag, D. P.; Tziperman, E. (2013). "Dynamics of a Snowball Earth ocean". Nature 495 (7439): 90–93. doi:10.1038/nature11894
Last week I attended a presenation by students who did a research exerercise compiling temperature data for Vanuatu of the past 40 years. They found that the annual temperatures averages had an increasing trend which was reverted by 2010. However I waqs not convinced about the results as depending on the baseline such reversion can be achieved easily. To say that in the past 7 years something meaningful has changed is too little of observation period. Many more years of data is required to show such change.
There have been many contributions that put global warming and global cooling as two different processes. What is different is the outcome of a very complex process. The outcome is either warming or cooling, and to make it even more complex both can happen - in different places.... How much of it is contributed by human activiies we can discuss and do research about, but it would be strange if only humans have contributed to these changes, or if they would be entirely caused by natural processes - both is very unlikely the case.
Sometimes people think that IPCC does investigate into global warming, but indeed it looks into climate change. The expression global warming is out since many years as it is acknowldeged that it is much more than around temperature change. Global cooling, if it exists is also climate change.
In Germany we can have temperatures in winter of minus 20 degrees Celsius. That is winter and we call this winter weather. Some years winters are mild, other years very harsh, long and very cold. Weather and climate are different things, and the weather is never the same. It changes and also if the sun energy received on January 1 at a particular place would be the same every year (which is not the case as the sender (sun) sends not always the same) it still would result in different weather as the energy received is only one from many, many factors that makes the weather.
I think that the cooling effect due to reduced sun activity (if it exists) moderates anthropogenic warming impacts, the same other natural impacts on the climate would such as volcanic eruptions etc. We should realise that something as complex as climate has many contributing factors that lead to change. To assume that everything is caused by humans or everything by natural causes is far too simplistic. For that reason it is rather difficult to make any precise predictions of the future. So both (processes that contribute to warming and such contributing to cooling) not only can happen, but they do, and they always did. What now is sold as new ideas and change to previous scientific knowledge is actually nothing really new other than that one aspect from an extremely complex process is taken out and displayed as the whole truth.