The ROSAT HRI was used to image fields around nine Galactic globular clusters that ave central densities in the range of 10(4)-10(5) M. pc-3 and that had not previously been observed with the Einstein Observatory. We detected X-ray sources associated with Pal 2 and NGC 6304 with luminosities of 1.1 X 10(34) ergs s-1 and 1.2 x 10(33) ergs s-1, respectively. No X-ray emission was detected from the source in Ter 6, thus confirming its transient nature. In all, there were 23 serendipitous sources found in the nine fields; none was apparently associated with any of the other seven clusters. The results are discussed in the context of low-luminosity cluster X-ray sources, in general.