Here's what rhymes with siglae.
                        
                        
                    
                                re  lay  clay  gray  grey  ray  yea  ley  rei  lei  rea  roue  they  may  day  way  say  pay  play  j  array  bay  gay  k  pray  che  hay  nay  prey  weigh  tray  fay  fe  fray  slay  allay  dey  hey  sei  sleigh  whey  drei  jay  kc  payee  rj  tae  tre  wei  bey  bray  dray  flay  neigh  brae  cay  fey  filet  shay  sickbay  trey  aurae  away  stay  delay  essay  obey  okay  spray  ballet  betray  cafe  repay  stray  sway  oj  valet  cliche  defray  fillet  ij  ok  bj  bk  emigre  fj  tj  zwei  crochet  croquet  soiree  souffle  belay  inveigh  splay  airplay  moray  stingray  hooray  hurray  reweigh  spay  aweigh  copay  today  display  survey  anyway  convey  decay  everyday  dismay  halfway  astray  bouquet  disarray  overlay  passe  sequelae  cabaret  dossier  gangway  puree  replay  saute  alleyway  fistulae  parquet  risque  caraway  fibulae  ricochet  byplay  nisei  prepay  purvey  sachet  sorbet  toupee  noway  overplay  urethrae  briquet  caesurae  layaway  medullae  outplay  umbrae  misplay  respray  holiday  interplay  portray  runaway  vertebrae  attache  disobey  faraway  lamellae  papillae  francais  microarray  naturae  nebulae  underlay  getaway  lingerie  maxillae  sobriquet  wordplay  workaday  carriageway  giveaway  hideaway  throwaway  patellae  pleurae  resurvey  soubriquet  stowaway  flyaway  macrame  overpay  overstay  outstay  uvulae  bobsleigh  copulae  tearaway  yesterday  formulae  underway  passageway  protege  waterway  matinee  societe  toothache  breakaway  scapulae  cabriolet  castaway  takeaway  underplay  roundelay  underpay  cybercafe  foldaway  penumbrae  walkaway  communique  naivete  trabeculae  straightaway  salmonellae  tarantulae  companionway  caravanserais