<p>Construction of partially balanced incomplete block (PBIB)-designs from a strongly regular graph with given set of parameters is a difficult problem. In literature only three such constructions are available. In this paper, we address this nearly impossible case by constructing PBIB-designs arising from strongly regular graphs with given parameter set for orders from 51 to 100, viz., Sims–Gewirtz graph, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\text {M}_{22}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>M</mtext> <mn>22</mn> </msub> </math></EquationSource> </InlineEquation> or Mesner graph, Brouwer’s graph, Brouwer and Haemer’s graph, Higman–Sims graph, Hall–Janko graph, Paley graphs—<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(P_{53},~P_{61},~P_{73},~P_{81},~P_{89},~P_{97}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>P</mi> <mn>53</mn> </msub> <mo>,</mo> <mspace width="3.33333pt" /> <msub> <mi>P</mi> <mn>61</mn> </msub> <mo>,</mo> <mspace width="3.33333pt" /> <msub> <mi>P</mi> <mn>73</mn> </msub> <mo>,</mo> <mspace width="3.33333pt" /> <msub> <mi>P</mi> <mn>81</mn> </msub> <mo>,</mo> <mspace width="3.33333pt" /> <msub> <mi>P</mi> <mn>89</mn> </msub> <mo>,</mo> <mspace width="3.33333pt" /> <msub> <mi>P</mi> <mn>97</mn> </msub> </mrow> </math></EquationSource> </InlineEquation> and Hamming graphs <i>H</i>(2,&#xa0;8) and <i>H</i>(2,&#xa0;10) using vertices of diametral paths as blocks. In each case we provide the composition of blocks. All these designs are constant block sum designs.</p>