Thank you Robin and DJF for your kind help! I made some experiments that I post here so that other can take advantages of them or improve them. Attached the output result.
%overlapping fingering \version "2.19.81" \fixed c' { \set fingeringOrientations = #'(left) \set stringNumberOrientations = #'(left) <g-2 b\3 d'\4>1 } %reducing fingering size \version "2.19.81" \fixed c' { \set fingeringOrientations = #'(left) \set stringNumberOrientations = #'(left) \override Fingering.font-size = #-9 \override StringNumber.font-size = #-9 <g-2 b\3 d'\4>1 } %reducing fingering size, blanking staff lines, padding fingering to horizontally align it to stringNumber \version "2.19.81" \fixed c' { \override Fingering.whiteout = ##t \override StringNumber.whiteout = ##t \override Fingering.font-size = #-9 \override StringNumber.font-size = #-9 \set fingeringOrientations = #'(left) \set stringNumberOrientations = #'(left) \override Fingering.padding = #0.8 <g-2 b\3 d'\4>1 } % moving fingering using Y-offset and X-offset \version "2.19.81" \fixed c' { \set fingeringOrientations = #'(left) \set stringNumberOrientations = #'(left) <g-\tweak Y-offset -0.8 \tweak X-offset -1.7 -2 b\3 d'-\tweak Y-offset 0.8 \4 >1 } % moving fingering using Y-offset and padding \version "2.19.81" \fixed c' { \set fingeringOrientations = #'(left) \set stringNumberOrientations = #'(left) \override Fingering.padding = #0.8 <g-\tweak Y-offset -0.8 -2 b\3 d'-\tweak Y-offset 0.8 \4 >1 } % moving fingering using Y-offset and X-offset and blanking staff lines \version "2.19.81" \fixed c' { \override Fingering.whiteout = ##t \override StringNumber.whiteout = ##t \set fingeringOrientations = #'(left) \set stringNumberOrientations = #'(left) <g-\tweak Y-offset -0.8 \tweak X-offset -1.7 -2 b\3 d'-\tweak Y-offset 0.8 \4 >1 }
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