The cross‐aldolization of (−)‐(1S,4R,5R,6R)‐6‐endo‐chloro‐5‐exo‐(phenylseleno)‐7‐oxabicyclo[2.2.1]heptan‐2‐one ((−)‐25) and of (+)‐(3aR,4aR,7aR,7bS)‐ ((+)‐26) and (−)‐(3aS,4aS,7aS,7bR)‐3a,4a,7a,7b‐tetrahydro‐6,6‐dimethyl[1,3]dioxolo[4,5]furo[2,3‐d]isoxazole‐3‐carbaldehyde ((−)‐26) was studied for the lithium enolate of (−)‐25 and for its trimethylsilyl ether (−)‐31 under Mukaiyama's conditions (Scheme 2). Protocols were found for highly diastereoselective condensation giving the four possible aldols (+)‐27 (`anti'), (+)‐28 (`syn'), 29 (`anti'), and (−)‐30 (`syn') resulting from the exclusive exo‐face reaction of the bicyclic lithium enolate of (−)‐25 and bicyclic silyl ether (−)‐31. Steric factors can explain the selectivities observed. Aldols (+)‐27, (+)‐28, 29, and (−)‐30 were converted stereoselectively to (+)‐1,4‐anhydro‐3‐{(S)‐[(tert‐butyl)dimethylsilyloxy][(3aR,4aR,7aR,7bS)‐3a,4a,7a,7b‐tetrahydro‐6,6‐dimethyl[1,3]dioxolo[4,5]‐furo[2,3‐d]isoxazol‐3‐yl]methyl}‐3‐deoxy‐2,6‐di‐O‐(methoxymethyl)‐α‐D‐galactopyranose ((+)‐62), its epimer at the exocyclic position (+)‐70, (−)‐1,4‐anhydro‐3‐{(S)‐[(tert‐butyl)dimethylsilyloxy][(3aS,4aS,7aS,7bR)‐3a,4a,7a,7b‐tetrahydro‐6,6‐dimethyl[1,3]dioxolo[4,5]furo[2,3‐d]isoxazol‐3‐yl]methyl}‐3‐deoxy‐2,6‐di‐O‐(methoxymethyl)‐α‐D‐galactopyranose ((−)‐77), and its epimer at the exocyclic position (+)‐84, respectively (Schemes 3 and 5). Compounds (+)‐62, (−)‐77, and (+)‐84 were transformed to (1R,2R,3S,7R,8S,9S,9aS)‐1,3,4,6,7,8,9,9a‐octahydro‐8‐[(1R,2R)‐1,2,3‐trihydroxypropyl]‐2H‐quinolizine‐1,2,3,7,9‐pentol (21), its (1S,2S,3R,7R,8S,9S,9aR) stereoisomer (−)‐22, and to its (1S,2S,3R,7R,8S,9R,9aR) stereoisomer (+)‐23, respectively (Schemes 6 and 7). The polyhydroxylated quinolizidines (−)‐22 and (+)‐23 adopt `trans‐azadecalin' structures with chair/chair conformations in which H−C(9a) occupies an axial position anti‐periplanar to the amine lone electron pair. Quinolizidines 21, (−)‐22, and (+)‐23 were tested for their inhibitory activities toward 25 commercially available glycohydrolases. Compound 21 is a weak inhibitor of β‐galactosidase from jack bean, of amyloglucosidase from Aspergillus niger, and of β‐glucosidase from Caldocellum saccharolyticum. Stereoisomers (−)‐22 and (+)‐23 are weak but more selective inhibitors of β‐galactosidase from jack bean.